47 percent of all customers who enter a store will make a purchase. Suppose that

Question

47 percent of all customers who enter a store will make a purchase. Suppose that 6 customers enter the store and that these customers make independent purchase decisions.

(1) Use the binomial formula to calculate the probability that exactly five customers make a purchase. (Round your answer to 4 decimal places.)

Probability              

(2) Use the binomial formula to calculate the probability that at least three customers make a purchase. (Round your answer to 4 decimal places.)

Probability            

(3) Use the binomial formula to calculate the probability that two or fewer customers make a purchase. (Round your answer to 4 decimal places.)

Probability            

(4) Use the binomial formula to calculate the probability that at least one customer makes a purchase. (Round your answer to 4 decimal places.)

Probability             

Explanation / Answer

p=0.47 and n is 6

a) P( exactly five customers make a purchase) =BINOM.DIST(5,6,0.47,FALSE) =0.0729

b) P(at least three customers make a purchase)=1-P(z<=2)=1-BINOM.DIST(2,6,0.47,TRUE)=0.5985

c) P(two or fewer customers make a purchase)=P(z<=2)=BINOM.DIST(2,6,0.47,TRUE)=0.4015

d) P(at least one customer makes a purchase)=1-P(x=0)=1-BINOM.DIST(0,6,0.47,TRUE)=0.9778

We use TRUE for point probability and FALSE for cummulative

Related Questions

Navigate

• Browse (All)
• Browse 4
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.