According to a study, the probability that a randomly selected teenager shopped at a mall at least once during a week was 0.65. Let X be the number of students in a randomly selected group of 50 that will shop at a mall during the next week. (a) Compute the expected value and standard deviation of X. (Round your answer to two decimal places.) Hint [See Example 5.] expected value standard deviation (b) Fill in the missing quantity. (Round your answer to the nearest whole number.) There is an approximately 2.5% chance that or more teenagers in the group will shop at the mall during the next week.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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According to a study, the probability that a randomly selected teenager shopped at a mall at least once during a week was 0.65. Let X be the number of students in a randomly selected group of 50
that will shop at a mall during the next week.
(a) Compute the expected value and standard deviation of X. (Round your answer to two decimal places.) Hint [See Example 5.]
expected value
standard deviation
(b) Fill in the missing quantity. (Round your answer to the nearest whole number.)
There is an approximately 2.5% chance that
or more teenagers in the group will shop at the mall during the next week.
Transcribed Image Text:According to a study, the probability that a randomly selected teenager shopped at a mall at least once during a week was 0.65. Let X be the number of students in a randomly selected group of 50 that will shop at a mall during the next week. (a) Compute the expected value and standard deviation of X. (Round your answer to two decimal places.) Hint [See Example 5.] expected value standard deviation (b) Fill in the missing quantity. (Round your answer to the nearest whole number.) There is an approximately 2.5% chance that or more teenagers in the group will shop at the mall during the next week.
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