1.) The Magazine Mass Marketing Company has received 14 entries in its latest sw
ID: 2923320 • Letter: 1
Question
1.) The Magazine Mass Marketing Company has received 14 entries in its latest sweepstakes. They know that the probability of receiving a magazine subscription order with an entry form is 0.6. What is the probability that less than 10 of the entry forms will include an order? Round your answer to four decimal places.
2.) There are 8 black balls and 7 red balls in an urn. If 5 balls are drawn without replacement, what is the probability that exactly 4 black balls are drawn? Express your answer as a fraction or a decimal number rounded to four decimal places.
3.) Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X > 2), n = 6, p = 0.5
4.) A real estate agent has 13 properties that she shows. She feels that there is a 40% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling at least 2 properties in one week. Round your answer to four decimal places.
Explanation / Answer
1. Number of entries = 14
Pr (Receiving a subscription) = 0.6
Pr( X < 10; 14; 6) = BIN(X < 10; 14; 0.6)
form binomial table
BIN(X < 10; 14; 0.6) = 0.7207
2. Black balls = 8
red balls = 7
5 balls are drawn
Pr(black balls = 4 out of 5 balls) = 8C4 * 7C1 / 15C5= 0.1632
(3) P(X >2; 6 ; 0.5) = 1 - P(0) - P(1) - P(2) = 1 - 6C0 (0.5)6 - 6C1(0.5)6 - 6C2(0.5)6= 0.6563
(4) Pr(salary a property) = 0.13
Pr(X > = 2; 13; 0.4) = 1- P(0) - P(1) = 1 - 13C0 (0.4)0 (0.6)13 - 13C1 (0.4)1 (0.6)12
= 1 - 0.01262
= 0.9874
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