+
LET THE RANDOM VARIABLE X REPRESENT THE NUMBER

LET THE RANDOM VARIABLE X REPRESENT THE NUMBER

Rating:
Rating
(0)
Author: Christine Farr
Description:

http://theperfecthomework.com/let-the-random-variable-x-represent-the-number-of-automobiles-that-a-top-salesperson-will-sell-to-a-corporate-client/

Let the random variable x represent the number of automobiles thata top salesperson will sell to a corporate client. The only possible valuesfor x are 0, 1 and 2, and the possibilities for each of these values may becalculated from the formulap(x) = 0.5 – (x/6) where x = 0, 1 or 2.a. Construct the probability distribution of the variable xNOTE: Express your probabilities to 4 decimal places of accuracy.b. Calculate the mean of this probability distribution.c. Calculate the standard deviation of this probability distribution.d. What is the probability that a randomly selected top salespersonwill selli.At least 1 automobile to a corporate client ?iiAt most 1 automobile to a corporate client ?iiiExactly 1 automobile to a corporate client ?2. According to a recent study, 38% of all women will suffer a hipfracturebecause of osteoporosis by the age of 85. If six women aged 85 arerandomly selected, what is the probability thata. None of them will suffer (or has suffered) a hip fracture due toosteoporosis ?b. At least four of them will suffer (or have suffered) a hip fracture duetoOsteoporosis ?c. Fewer than two of them will suffer (or have suffered) a hip fracturedueto osteoporosis ?3. Seventy percent of the student body of a very large post secondaryinstitution is female. In a random sample of 12 students, what is theprobability thata. At most half will be females ?b. More that 7 will be females ?c. Fewer than 3 will be males ?

(more)
See More
Try a College Course Free

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to over 2,000 colleges and universities.*

Begin Free Trial
No credit card required

25 Sophia partners guarantee credit transfer.

221 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 20 of Sophia’s online courses. More than 2,000 colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial