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

Q: 35 percent of all customers who enter a store will make a purchase Suppose that

Result: n=6, p=0.35 Binomial Probabilities Table X P(X) 0 0.0754 1 0.2437 2 0.3280 3 0.2355 4 0.0951 5 0.0205 6 0.0018 1). P( x=5) = 0.0205 2). P(x 3) = P( x=3)+ P( x=4)+ P( x=5)+ P( x=6) =0.2355+0.0951+0.0205+0.0018 =0.3529 3).P( x 2)= P( x=0)+ P( x=1)+ P( x=2) =0.0754+0.2437+0.3280 =0.6471 4). P(x1) = 1-P( x=0) =1-0.0754 =0.9246 Binomial Probabilities Table X P(X) 0 0.0754 1 0.2437 2 0.3280 3 0.2355 4 0.0951 5 0.0205 6 0.0018

ID: 3173456 • Letter: 3

Question

35 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. Use the binomial formula to calculate the probability that exactly five customers make a purchase. Use the binomial formula to calculate the probability that at least three customers make a purchase (Round your answer to 4 decimal places.) Use the binomial formula to calculate the probability that two or fewer customers make a purchase (Round your answer to 4 decimal places.) Use the binomial formula to calculate the probability that at least one customer makes a purchase (Round your answer to 4 decimal places.)

Explanation / Answer

Result:

n=6, p=0.35

Binomial Probabilities Table

P(X)

0.0754

0.2437

0.3280

0.2355

0.0951

0.0205

0.0018

1). P( x=5) = 0.0205

2). P(x 3) = P( x=3)+ P( x=4)+ P( x=5)+ P( x=6)

=0.2355+0.0951+0.0205+0.0018

=0.3529

3).P( x 2)= P( x=0)+ P( x=1)+ P( x=2)

=0.0754+0.2437+0.3280

=0.6471

4). P(x1) = 1-P( x=0)

=1-0.0754

=0.9246