You have designed a new efficient light bulb and in order to predict its life expectancy, you conducted a series of experiments on 135 of these light bulbs and gathered the following data. Number of Hours the Light Bulb Functioned before Failing 700 800 900 1000 1100 1200 Frequency 15 20 34 28 22 16

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
icon
Related questions
Question
You have designed a new efficient light bulb and in order to predict its life expectancy, you
conducted a series of experiments on 135 of these light bulbs and gathered the following data.
Number of Hours the
Light Bulb Functioned
before Failing
700
800
900
1000
1100
1200
Frequency
15
20
34
28
22
16
a) Plot the data, and calculate the mean, standard deviation, and variance.
b) Calculate the probability distribution, and plot the probability distribution curve.
Show all your calculations.
Transcribed Image Text:You have designed a new efficient light bulb and in order to predict its life expectancy, you conducted a series of experiments on 135 of these light bulbs and gathered the following data. Number of Hours the Light Bulb Functioned before Failing 700 800 900 1000 1100 1200 Frequency 15 20 34 28 22 16 a) Plot the data, and calculate the mean, standard deviation, and variance. b) Calculate the probability distribution, and plot the probability distribution curve. Show all your calculations.
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill