Let X be the number of used books
X ~BInomial(6,0.30)
The probability that she finds exactly 2 used books is :
P(X=2)
A student needs to buy 6 books this semester. The number of books that she will...
A consumer looking to buy a used red Miata car will call dealerships until she finds a dealership that carries the car. She estimates the probability that any independent dealership will have the car will be 28%. We are interested in the number of dealerships she must call. In words, define the random variable X. List the values that X may take on. Give the distribution of X. X ~ _____(_____,_____) On average, how many dealerships would we expect her...
A consumer looking to buy a used red Miata car will call dealerships until she finds a dealership that carries the car. She estimates the probability that any independent dealership will have the car will be 25%. We are interested in the number of dealerships she must call. a. n words, define the Random Variable X . b. List the values that X may take on. c. Give the distribution of X . d. On average, how many dealerships would...
10. S B A 0.30 0.10 0.45 0.15 a. P(BIA) b. P(B) c. Are events B & A independent? 16. Let W be a random variable modeled as a binomial with p = 0.42 and n = 35. a. Find the exact value of P(W = 15) by using the binomial probability formula. b. Find the approximate value of P(14 <W < 16) by using a normal curve approximation. C. Round the probabilities in parts a. and b. to two...
1. Bobby is a college student who has €500 of income to spend each semester on books and pizzas. The price of a pizza is €10 and the price of a book is є50. Suppose he consumes 20 pizzas. (a) Assuming that Bobby wants to maximie utility, draw Bobby's budget constraint and indifference curve. (b) Now, suppose Bobby's parents buy him a €300 gift certificate each semester that can only be used to buy You can assume that his indifference...
) Salesw oman Sally used her previous years' sales records to construct the following probability distribution for the random variable X. The random variable X represents the number of sales per day Corresponding to each value of X is its probability. X P(x) 0 0.25 1 0.30 2 0.15 3 0.10 4 0.10 5 0.10 a) What is the probability that between 2 and 4 sales, inclusixe, will be made on any given day? b) Compute the mean or expected...
Assume that a procedure ylelds a binomial distribution with n = 6 trials and a probability of success of p = 0.30. Use a binomial probability table to find the probability that the number of successes x is exactly 2 P(2)= _______ (Round to three decimal places as needed)
Tradition says that an undergraduate student won’t graduate in four years if he/she walks underneath the Bell Tower at Purdue. Every time an undergraduate student walks past the tower, the probability that the student will walk underneath the tower is 0.08. Assume that each student is independent of any others. d) 6 students have walked past the bell tower and none of these students walked underneath it. What is the probability that it takes more than 14 students (total) walking...
B1) The random variable Krepresents the number of typing errors per page in a student' dissertation, with the following probability distribution: [SKI: 5 Marks] 00.05 0.30 2 0.40 3 0.15 4 0.10 1) Find the expected number of errors per page. 2) Find the variance and standard deviation of the random variable. 3) Find the following probability: P(X23) (2 Marks) (2 Marks) (1 Marks)
1.- A random variable follows a binomial distribution with a probability of success equal to 0.72. For a sample size of n=12, find the values below. a. the probability of exactly 5 successes b. the probability of 6 or more successes c. the probability of exactly 11 successes d. the expected value of the random variable a. The probability of exactly 5 successes is (Round to three decimal places as needed.) b. The probability of 6 or more successes is...
do q5
many ways can this be done so that exactly one box is empty? 5. A single card is drawn from a deck. Give an example of events that are independent but not mutually exclusive (i.e., disjoint). 6. If X is the munber of successes in 5 Bernoulli trials with probability of success .1, find P(X01 X 1) 7. If X is a random variable, X 1 is also a random variable on the same probability space. Explain why....