Prove: If ACB, then a. P(B| A)=1 (Assume that any conditioning event has positive probability.)

Q: 3. At a certain gas station, 40% of the customers use regular gas, 35% use plus gas, and 25% use…

A:

Q: 7. A department store sells sport shirts in three sizes (small, medium, and large), three patterns…

A:

Q: Let's derive another useful way of computing the mean of a nonnegative, integer-valued r.v. X.…

A:

Q: I need help in this question of Probabiltiy The 21st Century grade of students in a certain school…

A: Given,mean(μ)=87.18standard deviation(σ)=2.99

Q: Use the fact that the mean of a geometric distribution is μ =- and the variance is o² = - Р 2 Р 1…

A: Given that mean of geometric distribution is μ=1p & σ2=qp2

Q: Consider example 9.2a. If p < 1/2, will it change the derivation of α? Answer: Yes/No.

A: Given Information: Consider the given example 9.2a

Q: There are 5 apples, 6 bananas, and 10 grapefruits in the produce section of a grocery store. The…

A: 5 apples 6 bananas  10 grapefruits  Fruit basket is not allowed to be empty.

Q: 2. Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based…

A: Given that  P(Lyme disease) = 16% = 0.16 P(HGE) = 10% = 0.10 P(Lyme disease and HGE) = 10% = 0 10

Q: Find the probability of each of the following, showing your choose a) Two heads in throwing a coin…

A: Given that  A) Two heads in throwing a coin six times nCr = n! /{r!*(n-r)!} Note : According to…

Q: Determine the expected value given the function: f(x) = a≤x≤b). Given that a and b are random…

A:

Q: The authors of a paper presented a correlation analysis to investigate the relationship between…

A: a) It is needed to test, whether there is a positive correlation between maximal lactate level and…

Q: A fair coin is flipped and it is noted whether heads or tails show. A fair 4-sided die is tossed and…

A: When a coin is tossed then total possible outcomes are = {Head, Tail} = 2 Now, probability formula…

Q: Assume that the coin is weighted so that Pr[H]=1/4, and that it is flipped 15 times. The random…

A:

Q: 2. There are 12 students in a party. Five of them are girls. In how many ways can these 12 students…

A:

Q: #8 Male Color Blindness When conducting research on color blindness in males, a researcher forms…

A:

Q: A game show awards the winner of a contest a random whole dollar amount uniformly distributed…

A: given data  uniform distribution x~U(100,500)P(190&lt;x&lt;386) = ? f(x) = 1b-a = 1500-100 = 1400

Q: Chapter 7: Normal Probability Distributions 7.1 Heights of 10-year-olds. Heights of 10-year-old male…

A: X~N(μ, σ) Emperical rule P(μ-σ&lt; x&lt;μ+σ)=68% P(μ&lt; x&lt;μ+σ)=68%/2=34% P(μ-σ&lt; x&lt;μ)=34%…

Q: What is the expected value at a certain probability function, where random variable x has density a…

A:

Q: Salinity in Quebec river is a combination of tides and rain. Rain that diluted the salt occurs about…

A: From the given information, Salinity in Quebec river is a combination of tides and rain. Rain that…

Q: probability becomes P (E₁ IB) = 0.24, P(B) = 0.29. Complete parts a through c. a. Calculate P (E₁…

A: It is given that  P(E1) = 0.39 P(E2) = 0.11 P(E3) = 0.47 P(E1/B) = 0.24 P(B) = 0.29

Q: fa procedure meets all of the conditions of a binomial distribution except the number of trials is…

A: Given that  Probability of success p=0.09

Q: (5) A discrete random variable X has the probability mass function f(x) = c(x + 1)², x=-1,0, 1. You…

A:

Q: A box contains two fair coins, two coins that are weighted so that the probability of heads is .75…

A:

Q: What is the probability that 5 of the students reported depressive symptoms?

A: Let p be the probability that a student reports depressive symptoms.  Given that p = 0.18 Let X…

Q: Suppose P, Q and R are statements. Write down a truth table for the statement P or ((Q= ⇒P) and R).…

A: Here We have three statements, P,Q,R P Q R Q⇒P (Q⇒P)and R P or ((Q⇒P)and R) T T T T T T T T F…

Q: The length of time of calls made to a support helpline follows an exponential distribution with an…

A: Method: Using the probability density function of Exponential distribution to find probability

Q: I have 10 red and 10 blue cards. I shuffle the cards and then label the cards based on their orders:…

A: Given problem Given that   I have 10 red and 10 blue cards. I shuffle the cards and then label the…

Q: In a base-rate neglect experiment, subjects are randomly divided into two groups, namely A and B.…

A: Given that, Subjects in Group A are told that Max has been randomly drawn from a population of 95%…

Q: Describe the difference between the probability of two mutually exclusive events, two complementary…

A: Two events are considered as mutually exclusive events if the occurrence of both events cannot…

Q: 10. A group of 6 people are to be seated in row. In how many ways can the group be seated if: A…

A:

Q: if the odds of winning on a scratch off lottery ticket are 11:696 what is the probability of…

A: We have given the odds of winning on a scratch  of lottery  ticket are 11: 696 we have to find out…

Q: Suppose 2000 widgets are produced per hour by a machine and when the machine is operating under…

A: Given that  λ=2 For Next 4 hours are defective is λ=2×4=8 X~P(λ)

Q: A boiler has five identical relief valves. The probability that any particular valve will open on…

A:

Q: Course: Statistics and Probability If a bank receives on average 6 bad checks per day. a) What is…

A:

Q: (c) Let 7 denote the population median. Obtain the MLE of T. (Hint: First find the specific form of…

A:

Q: (a) What is the probability that a fair coin lands tails up eight times in a row? (b) Suppose you're…

A: As per our guidelines, we can solve only first one question. Please post the remaining questions…

Q: 4) 25 people with different names (Eva, Ali, Bertil, Kim,....) will be divided into 5 unnumbered…

A:

Q: y = Bot Box, where Bo is the y-intercept and ₁ represents the slope, which is, by definition, the…

A: It is given that the regression equation is: y = 1820 + 1.2x

Q: How come we are adding just a and b together and not a, b, and o for that 56 percent. also also why…

A: Probability is the measure of likelihood of the occurrence. It takes value between 0 to 1. If the…

Q: 11. A student is trying to pass calculus. She will stop trying if she pass the course or after three…

A: Probability to pass in one attempt = (1/3) Probability to fail in one attempt = 1-(1/3) = 2/3…

Q: --15.349178 The y-intercept of the estimated regression line is - -15.349178✔ Step 6 -15.349152…

A: Given that  Intercept =β0^ Slope=β1^

Q: (b) Calculate a point estimate for true average efficiency ratio when tank temperature is 186. Use…

A: Formula: Regression line is                 Y = a + b X

Q: What characterizes a Binomial experiment? It counts the number of successes in multiple independent…

A: Properties of binomial distribution: The number of trials is fixed. The trials are independent to…

Q: need help with these 2 parts

A: Given that  X ~ Exponential(λ = 0.4)

Q: A restaurant is planning to open in town. They estimate that there is a 50% probability that is will…

A: It is given that there is a 50% probability that is will make $50,000, a 15% probability that it…

Q: Let x have an exponential distribution with = 0.4. Find the probability. (Round your answer to four…

A: Given that  X~Exp(λ) λ=1 and λ=0.4

Q: A state grand lottery is conducted in which six winning numbers are selected from a total of 55…

A: From the given information we have Total numbers = 55Number of winning numbers = 6Number of losing…

Q: like 2 of the songs. With the random feature on your player, each of the 11 songs is played once in…

A:

Q: 2. A biased coin comes up heads with probability and tails with probability. What is the expected…

A: Since here we have given that probability of getting heads is 1/4 it means it must have tossed 2…

Q: What proportion of funding will go to all departments other than surgery?

A: From given data we have : Department Proposed share of Grant surgery $1,020,000.00…