Scuba-diving trips. The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 65% males and 35% females. The agency calls 30 people chosen at random from its list. (a)...

1 answer below »

Scuba-diving trips. The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 65% males and 35% females. The agency calls 30 people chosen at random from its list.

(a) What is the probability that 20 of the 30 are men? (Use the binomial probability formula.)

(b) What is the probability that the first woman is reached on the fourth call? (That is, the first 4 calls give MMMF.)

Answered Same DayDec 25, 2021

Answer To: Scuba-diving trips. The mailing list of an agency that markets scuba-diving trips to the Florida...

David answered on Dec 25 2021

130 Votes

A P (X = 20), n = 30, p = 0.65
X ∼ Binomial(n = 30, p = 0.65)
P (X = 20) =
(
n
x
)
px(1 − p)n−x =
(30
20
)
(0.65)20(1 − 0.65)30−20 = 30045015 ∗
(0.65)20(0.35)10 = 0.150217 ≈ 0.150217 ≈ 0.150
P (X = 20) = 0.150
Using excel function BinomDist(20,30,0.65,false) or TI-83/84...

SOLUTION.PDF

Scuba-diving trips. The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 65% males and 35% females. The agency calls 30 people chosen at random from its list. (a)...

Answer To: Scuba-diving trips. The mailing list of an agency that markets scuba-diving trips to the Florida...

Answer To This Question Is Available To Download

Related Questions & Answers

Submit New Assignment