Every week a company randomly selects a number n of its workers for health checks. The proportion of its workers who are over 40 years old is p. Time left 1:27:3 2 Let X represent the number of over-40 workers selected in a particular week so that X ~ Bin(n,p). Suppose Xhas the probability distribution below: x P(X = x) 0 ? 1 0.36015 2 0.30870 3 0.13230 4 0.02835 5 0.00243 a. State the value of n: b. Find the value of p. Give answer to 1 decimal place: The following year, p does not change but the company decides to select 8 workers each week for health checks. c. How many combinations of 5 over-40 workers are possible within the set of 8 workers selected for the health checks?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Every week a company randomly selects a number n of its workers for health checks.
The proportion of its workers who are over 40 years old is p.
Time left 1:27:3
2
Let X represent the number of over-40 workers selected in a particular week so that X ~ Bin(n,p).
Suppose Xhas the probability distribution below:
x
P(X = x)
0
?
1
0.36015
2
0.30870
3
0.13230
4
0.02835
5
0.00243
a. State the value of n:
b. Find the value of p. Give answer to 1 decimal place:
The following year, p does not change but the company decides to select 8 workers each week for
health checks.
c. How many combinations of 5 over-40 workers are possible within the set of 8 workers selected
for the health checks?
Transcribed Image Text:Every week a company randomly selects a number n of its workers for health checks. The proportion of its workers who are over 40 years old is p. Time left 1:27:3 2 Let X represent the number of over-40 workers selected in a particular week so that X ~ Bin(n,p). Suppose Xhas the probability distribution below: x P(X = x) 0 ? 1 0.36015 2 0.30870 3 0.13230 4 0.02835 5 0.00243 a. State the value of n: b. Find the value of p. Give answer to 1 decimal place: The following year, p does not change but the company decides to select 8 workers each week for health checks. c. How many combinations of 5 over-40 workers are possible within the set of 8 workers selected for the health checks?
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