You are trying out for the school play. The probability that you are chosen to be in the play is 0.4. The probability that you g
et the lead role is 0.1. What is the probability that you get a lead role, given that you are chosen to be in the play?
1 answer:
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Answer:
a) -1.25
b) 0.2112
c) -1.96
Step-by-step explanation:
Data provided in the question:
Sample size, n = 400
H0 : p = 20
= 175
Now,
a) The test statistic is given as:
Z =
on substituting the respective values, we get
Z =
= -1.25
b) The p-value = 2 × P(Z <-1.25)
Now from the standard normal table
P(Z <-1.25) = 10.56% = 0.1056
Thus,
p-value = 2 × 1056 = 0.2112
c) for a = 0.05,
the critical value is i.e
Now from standard normal table
= -1.96
Answer:
Step-by-step explanation:
Given
--- Average
--- Average
Required
Determine the overall average
Represent the sum of the first three with x.
So:
Solve for x
Represent the sum of the next seven with y.
So:
Solve for y
The overall average is calculated as thus: