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- A call center in Perth, Australia receives an average of 1.3 calls per minute. By looking at the date, a Poisson discrete distribution is assumed for this variable. Calculate each of the following.a. The probability of receiving no calls in the first minute of its office hours.b. The probability of receiving 1 call in the first minute.c. The probability of receiving 3 calls in the first minute.What is logisticAccording to a recent Wall Street Journal article, about 2% of new US car sales are electric vehicles (data from Edison Electric Institute reported by Jinjoo Lee, "Peak Oil? Not This Year. Or This Decade," January 9, 2021 pg. B12). Suppose a company has 111 employees who drive new cars (separately) to work each day. What is the probability that at least one of them will drive an electric car? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
- 4. There are 10 keys and only one of them can open a lock. We do not know which key can open the lock, but we will try them one by one until we find the right key. Let X denote the number of times tried to find the right key. (a) What is the p.m.f. of X? (b) What is the C.D.F. of X? (c) What is the mean and variance of X?QUESTION 2 The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution with the average amount of time equal to 38 minutes. What is the probability that a randomly selected spouse spends at least 30 minutes to shop for anniversary card?1 A car dealer has established that 40% of his potential customers prefer single cab cars while 60% prefer double cab cars. From a recent survey among his existing clients, he obtained additional information which indicates that 15% of clients who bought single cab cars prefer air conditioning while 65% of clients who bought double cars prefer air conditioning.Required:a) What is the probability that a client who bought a single cab does not prefer air conditioning? (5)b) What is the probability that a client prefers a double cab with air conditioning?
- 6 Company “X Star" supplies electronic devices. Probability of purchasing a defective device is 0.3. Mr. Chang has purchased two devices. (a) What is the probability that at least one device purchased by Mr. Chang is good? (b) What is the probability that at least one device purchased by Mr. Chang is defective?QUESTION 11 ABC Store's data of the past 500 days shows that the online daily sales of a cooking pot of a special brand was between ten and eighteen pots. If of the 500 days, there were 100 days with daily sale of 15 pots, then what is the probability that the daily sale is 15 pots? (Put your result in a decimal number. Keep 3 digits after the decimal points.)3. Use the following joint distribution to compute E(X), E(Y), o, o, oxy, and corr(X, Y). Y=0 X=0 X=1 Total 0.15 0.07 0.22 0.78 Y=1 0.15 0.63 Total 0.30 0.70 1.00
- What do we call the probability of a Type I error?The table gives the joint probability distribution of the number of sports an individual plays (X) and the number of times she may get injured while playing (1) X=3 0.15 0.06 0.15 0.02 Y=4 Y=3 Y=2 Y=1 X=1 0.12 0.05 0.10 0.15 The covariance between X and Y. xy.is (Round your answer to two decimal places. Enter a minus sign if your answer is negative.) The correlation between X and Y, con(X, Y), is (Round your answer to two decimal places. Enter a minus sign if your answer is negative) An increase in the number of sports an individual plays will tend to X=2 0.08 0.05 0.03 0.04 the number of times she may get injured while playingFind the probability that there are three H when a fair coin is flipped four times. ___________% (Round the answer to 2 decimal points.)