Answer:
B. probability = 0.707
Step-by-step explanation:
Find the probability of finding 39 to 51 inclusively student with jobs from a sample of 300, given probability is 0.15.
To do so, we need to use the binomial distribution, which can be calculated with the specified calculator, or using R, available online.
The probability can be found by finding the cumulative probability, from a sample of 300 students
P( <= 51 students with jobs) = binomcdf(300,0.15,51) = 0.8530691
P( <= 38 students with jobs) = binomcdf(300,0.15,51) = 0.1460201
Therefore probability of 39 - 51 students with jobs
= P( <= 51 students with jobs) - P( <= 38 students with jobs)
= 0.8530691 - 0.1460201
= 0.7070491