There are several scenarios described below. For each of them, do the following
ID: 2927746 • Letter: T
Question
There are several scenarios described below. For each of them, do the following (note: R.V. means randonm variable) (1) Define the R.V.- that means something like, "Let X be the number of people who." (2) Define the distribution and parameter(s) of the R.V. (3) Give the support of the R.V (4) Write the probability statement related to the information being sought. Do not calculate the probability a) 64% of the people taking the Indiana Bar Exam in July 2016 passed. George and 4 friends took the Indiana Bar exam in July 2016. George wants to calculate the probability that he and 2 others from this group passed the exam. To enter a certain radio station's contest, you must call in when a particular song is played. The radio station phone lines are busy approximately 82% of the time during a contest. We are interested in finding the probability that the 5th time you call is the 1st time you get through during a contest. b) ) In a bowl of M&M; candies, there are 75 red ones, 32 green one and 85 of other colors. You will reach in without looking and take out 25 M&Ms; to eat. What is the probability that you have at least 5 red M&Ms; to eat? Mollie loves to bake and her specialty is gumdrop cookies. On average, there are 8 gumdrops per cookie. She is baking a batch of one dozen gumdrop cookies. What is the probability that the batch of cookies contains more than 100 gumdrops? A salesman at Gippo's Appliance World needs to make 3 sales today. Usually, the salesman is successful 42% of the time that he talks to customers, what is the probability that he will meet his quota of 3 sales before he talks to his 10th customer of the day? d) e)Explanation / Answer
a) R.V - Let X be the number of people of passed. It is a discrete random variable distribution because the value of X can only be integers.
Probability statement - "Probability that George and any2 of his friends passed is given as"
b) RV - Let X be the Xth number of time you called before getting 1st time to the contest. This is again a discrete distribution because of integer values.
"Probability that your first 4 calls went to the busy line and 5th one connected through to the contest is"
c) RV - Let X be the number of red M&Ms you draw from the bowl. It is a discrete distribution because the number of candies cannot be in fraction or continuous.
We need to find: 1 - sum of Probabilities that there was 1 red M&M, 2 red M&M, 3 red M&M and 4 red M&Ms taken out.
d). RV - Let X be the number of gumdrops in the batch of one dozen cookies. Probability Statement - P(>100) that the cookies contain more than 100 gumdrops in them.
e) Let X be the number of customers he talks to before making his third sale.
Probability Statement - Probability the salesman talks to 9 customers before making his third sale OR the number of ways in which the 2 sales can be distributed across his 9 customers before the 3rd sale.