Sample Proportion

In a California community college, 60% of students will transfer to a college in the CSU system. The number of students in a sample who will transfer follows a binomial distribution.

Four hundred students are randomly selected from the college, and 224 of them will transfer to a college in the CSU system.

Determine the sample proportion p these students who will transfer to a college in the CSU system.

Correct answer:

P =  0.9333

Step-by-step explanation:

p=60%=10060=53=0.6 n=400 n2=224  μ=n p=400 53=5400 3=51200=240 σ2=n p (1p)=400 53 (153)=96  P=μn2=240224=1514=0.9333



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