Suppose that the lifetimes of light bubs are approximately normaily dstributed, with a mean of 56 hours and a standard deviation of 3.3 hours. With this information, answer the following questions. (a) What proportion of light bubs will last more than 62 hours? (b) What proportion of light buibs will last 52 hours or less? (c) What proportion of light bulbs will last between 59 and 62 hours? (d) What is the probability that a randomly selected light bulb lasts less than 45 hours? (a) The proportion of light bulbs that last more than 62 hours is (Round to four decimal places as needed) (b) The proportion of light bubs that last 52 hours or less is (Round to four decimal places as needed.) (c) The proportion of light bulbs that lasts between 59 and 62 hours is (Round to four decimal places as needed) (d) The probablity that a randomily selected light bulbs lasts less than 45 hours is (Round to four decimal places as needed)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56 hours and a standard deviation of 3.3 hours. With this information, answer the following questions.
(a) What proportion of light bulbs will last more than 62 hours?
(b) What proportion of light bulbs will last 52 hours or less?
(c) What proportion of light bulbs will last between 59 and 62 hours?
(d) What is the probability that a randomly selected light bulb lasts less than 45 hours?
(a) The proportion of light bulbs that last more than 62 hours is
(Round to four decimal places as needed.)
(b) The proportion of light bulbs that last 52 hours or less is
(Round to four decimal places as needed.)
(c) The proportion of light bulbs that lasts between 59 and 62 hours is
(Round to four decimal places as needed.)
(d) The probability that a randomly selected light bulbs lasts less than 45 hours is
(Round to four decimal places as needed.)
Statcrunch
Next
8:00
BNASWVS
esc
%23
$
&
1
2
3
4
backspace
8
tab
口 85
Transcribed Image Text:Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56 hours and a standard deviation of 3.3 hours. With this information, answer the following questions. (a) What proportion of light bulbs will last more than 62 hours? (b) What proportion of light bulbs will last 52 hours or less? (c) What proportion of light bulbs will last between 59 and 62 hours? (d) What is the probability that a randomly selected light bulb lasts less than 45 hours? (a) The proportion of light bulbs that last more than 62 hours is (Round to four decimal places as needed.) (b) The proportion of light bulbs that last 52 hours or less is (Round to four decimal places as needed.) (c) The proportion of light bulbs that lasts between 59 and 62 hours is (Round to four decimal places as needed.) (d) The probability that a randomly selected light bulbs lasts less than 45 hours is (Round to four decimal places as needed.) Statcrunch Next 8:00 BNASWVS esc %23 $ & 1 2 3 4 backspace 8 tab 口 85
Suppose the birth weights of full-term babies are normally distributed with mean 3650 grams and standard deviation o=
515 grams. Complete parts (a) through (c) below.
3.
3135
2620
3650
3135
3650
4165
4165
3650
3650
4680
2620
4680
(b) Shade the region that represents the proportion of full-term babies who weigh more than 4680 grams. Choose the correct graph below.
O A.
O B.
C.
O D.
4165
3650
3650
4690
4690
3650
3135
3135
4165
2620
4680
2620
3650
(c) Suppose the area under the normal curve to the right of X 4680 is 0.0228. Provide an interpretation of this result. Select the correct choice below and fill in the answer box to complete your choice.
(Type a whole number.)
O A. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than
grams.
O B. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is less than
grams.
Statcrunch
Next
8:00
SAMSUNG
esc
@
%23
2$
&
1
2
3
4
backspace
8.
Transcribed Image Text:Suppose the birth weights of full-term babies are normally distributed with mean 3650 grams and standard deviation o= 515 grams. Complete parts (a) through (c) below. 3. 3135 2620 3650 3135 3650 4165 4165 3650 3650 4680 2620 4680 (b) Shade the region that represents the proportion of full-term babies who weigh more than 4680 grams. Choose the correct graph below. O A. O B. C. O D. 4165 3650 3650 4690 4690 3650 3135 3135 4165 2620 4680 2620 3650 (c) Suppose the area under the normal curve to the right of X 4680 is 0.0228. Provide an interpretation of this result. Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) O A. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than grams. O B. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is less than grams. Statcrunch Next 8:00 SAMSUNG esc @ %23 2$ & 1 2 3 4 backspace 8.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman