possibleThe probability that a randomly selected 1-year-old male chipmunk will live to be2 years old is 0.95698.(a) What is the probability that two randomly selected 1-year-old malechipmunks will live to be 2 years old?(b) What is the probability that nine randomly selected 1-year-old malechipmunks will live to be 2 years old?(c) What is the probability that at least one of nine randomly selected 1-year-oldmale chipmunks will not live to be 2 years old? Would it be unusual if at least oneof nine randomly selected 1-year-old male chipmunks did not live to be 2 yearsold?...(a) The probability that two randomly selected 1-year-old male chipmunks willlive to be 2 years old is.(Round to five decimal places as needed.)(b) The probability that nine randomly selected 1-year-old male chipmunks willlive to be 2 years old is.(Round to five decimal places as needed.)(c) The probability that at least one of nine randomly selected 1-year-old malechipmunks will not live to be 2 years old is(Round to five decimal places as needed.)Would it be unusual if at least one of nine randomly selected 1-year-old malechipmunks did not live to be 2 years old?because the probability of this happening is▼0.05.Nexthp

Answered: The probability that a randomly…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

possible
The probability that a randomly selected 1-year-old male chipmunk will live to be
2 years old is 0.95698.
(a) What is the probability that two randomly selected 1-year-old male
chipmunks will live to be 2 years old?
(b) What is the probability that nine randomly selected 1-year-old male
chipmunks will live to be 2 years old?
(c) What is the probability that at least one of nine randomly selected 1-year-old
male chipmunks will not live to be 2 years old? Would it be unusual if at least one
of nine randomly selected 1-year-old male chipmunks did not live to be 2 years
old?
...
(a) The probability that two randomly selected 1-year-old male chipmunks will
live to be 2 years old is.
(Round to five decimal places as needed.)
(b) The probability that nine randomly selected 1-year-old male chipmunks will
live to be 2 years old is.
(Round to five decimal places as needed.)
(c) The probability that at least one of nine randomly selected 1-year-old male
chipmunks will not live to be 2 years old is
(Round to five decimal places as needed.)
Would it be unusual if at least one of nine randomly selected 1-year-old male
chipmunks did not live to be 2 years old?
because the probability of this happening is
▼0.05.
Next
hp

Expert Solution

Step 1

In this case, each of the 1-year-old chipmunks has the only option of "live" (defined as success) or "not live" (defined as failure) to be 2 years old. For a considered no of 1-year-old chipmunks (i.e., no. of trials, $n < \infty$ ), with a specified prob. of live to be 2 years old (i.e., the success prob. $p$ remains constant), the random variable " $X$ =no. of 1 year old chipmunks live to be 2 years old" is claimed to follow Binomial distribution. So for $X ~ B (n, p)$ , the pmf is given as:

$P (X = x) = \{\begin{cases} ^{n} C_{x} p^{x} {(1 - p)}^{n - x}; x = 0, 1, 2 . . ., n \\ 0; Otherwise \end{cases}$