Answer: A. 5%
Step-by-step explanation:
Given : The chance that they will join the graduate program : p=0.10
The total number of students in the class: n = 400
For this binomial situation :

We assume that this is normal distribution.
Let X be the random variable that represents the students will be joining a graduate program.
Z-score : 
For x= 50 , we have

Using the standard normal distribution table , we have

Hence, the value i.e.closest to the probability that at least 50 students will be joining a graduate program = 5%
Answer: False
Step-by-step explanation:
Answer: 0.0062
Step-by-step explanation:
Given : Mean : 
Standard deviation :
Sample size : 
Assume that age of people in the country is normally distributed.
The formula to calculate the z-score :-

For x = 32

The p-value = 

Hence, the the probability that the average age of our sample is at least =0.0062
Answer:
A
Step-by-step explanation:
Answer: I think it would be 3.5
Step by Step Explanation: BRAINLIEST?!?