SOLUTION: You are a teacher of a classroom of 10 students. There is a probability of P=.30 that any one student will have a peanut allergy, this does not change between students. You want to

Question 1171819: You are a teacher of a classroom of 10 students. There is a probability of P=.30 that any one student will have a peanut allergy, this does not change between students. You want to get a estimate about the number of students who might be allergic to peanut butter in your class
What is the distribution that you will use for this data? (1)
Please calculate the probability of having 3,4, or 5 students who having a peanut allergy in the class? (3)
What is the average and standard deviation of this distribution? (2)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
binomial ~(10,0.3)
average is 10*0.3=3
variance is 3*0.7=2.1
sd is sqrt(V)=1.45
prob of 3 is 10C3*0.3^3*0.7^7=0.2668
for 4 the same approach or binompdf(10,0.4,4)=0.2508
for 5 it is 0.1029
sum and answer is 0.6205
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