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Suppose there are 40 students in my class. Out of which, 8 students live on campus...
5. (20 pts) Suppose on a given college campus 45% of the students own an iPhone, 50% an Android smartphone and 5% some other type of phone. Let X= the number of students in a simple random sample of 15 students who own an iPhone. A. What is the probability distribution of X? Note: If this is a well-known distribution it is sufficient to name the distribution and identify the value of the parameters. B. Find the probability that 8...
5. (20 pts) Suppose on a given college campus 45% of the students own an iPhone, 50% an Android smartphone and 5% some other type of phone. Let X=the number of students in a simple random sample of 15 students who own an iPhone. A. What is the probability distribution of X? Note: If this is a well-known distribution it is sufficient to name the distribution and identify the value of the parameters B. Find the probability that 8 students...
1.) Suppose that a box contains 8 cameras and that 3 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X as the number of defective cameras in the sample. Hint: Make a probability tree for selecting 2 cameras without replacement. Write the probability distribution for X. k P(X=k) What is the expected value of X? 2.) Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Find...
The percentage of students in four different faculty departments A, B, C and D are 40%, 30%, 20%, and 10% respectively. If you know that 80%, 85%, 87%, and 90% of each department students have passed last exam, what is the probability that a randomly selected student has passed the exam. (SMarks) . How many different ways can 3 red. 4 yellow, and 2 blue bulbs be arranged in a string of a ll. Suppose that a random variable X...
Suppose that n students are selected at random without replacement from a class containing 28 students, of whom 8 are boys and 20 are girls. We assume that 0 < n < 28. Let X denote the number of boys that are obtained. Answer the following questions: a (4 marks) State the distribution of X, with parameters b (1 mark) Write down the possible values of X c (1 mark) Express E(X) in terms of n. d (4 marks) For...
Answers for all questions please!! 8) A bag contains 10 red marbles and 8 green marbles. Anne picks 3 replacement, and observes the color of each marble. The number of green binomial random variable. If we let success correspond to getting success probability, p?What is the number of trials? marbles at random, with 8) marbles, X, is a a green marble, what is the A) P- n3 Solve the problem. 9) One hundred people were asked, "Do you favor the...
A box contains 140 USB drives 38 of which are defective. consider drawing a non-defective USB drive to be a success. if 25 USB drives are randomly selected without replacement, the results do not form a binomial distribution for which reasons select all that apply. a. There is not a fixed number of trials. b. The probability of success is not the same in each trial. c. each trial has more than two possible outcomes. d. The trials are dependent...
1. Suppose that random variables X and Y are independent and have the following properties: E(X) = 5, Var(X) = 2, E(Y ) = −2, E(Y 2) = 7. Compute the following. (a) E(X + Y ). (b) Var(2X − 3Y ) (c) E(X2 + 5) (d) The standard deviation of Y . 2. Consider the following data set: �x = {90, 88, 93, 87, 85, 95, 92} (a) Compute x¯. (b) Compute the standard deviation of this set. 3....