The probability that a female fence lizard will be resting at any given time is
ID: 3205356 • Letter: T
Question
The probability that a female fence lizard will be resting at any given time is approximately 0.95. In a random sample of 20 female lizards, what is the probability that at least 15 will be resting at any given time? In a random sample of 20 female lizards, what is the probability that fewer than 10 will be resting at any given time? In a random sample of 20 female lizards, what is the probability that any number of lizards from 5 to 8 inclusive will be resting at any given time? For a random sample of 20 female lizards, what are the mean and standard deviation?Explanation / Answer
probability of female fencing lizard to be resting is 0.95
a)
probability of atleast 15 resting =
probability of 15 resting + probability of 16 resting + probability of 17 resting + probability of 18 resting + probability of 19 resting + probability of 20 resting
= 0.9515 * 0.055 + 0.9516 * 0.054 + 0.9517 * 0.053 + 0.9518 * 0.052 + 0.9519 * 0.051 + 0.9520
=0.37840179894
b) probability of fewer than 10 resting
= 0 resting + 1 resting + 2 resting + 3 resting + 4 resting + 5 resting + 6 resting + 7 resting + 8 resting + 9 resting
0.05^20 + 0.95 * 0.05^19 + 0.95^2 *0.05^18 + 0.95^3 * 0.05^17+ 0.95^4*0.05^16 + 0.95^5 * 0.05^15 + 0.95^6 *0.05^14 + 0.95^7* 0.05^13+ 0.95^8 *0.05^12 + 0.95^9 * 0.05^11 = 3.2483558e-15
c)
probability of 5 resting + 6 resting + 7 resting + 8 resting
= 0.95^5*0.05^15 + 0.95^6 * 0.05^14 + 0.95^7*0.05^13 + 0.95^8* 0.05^12
= 1.7096478 e-16
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.