Question

In: Math

Y is a Binomial random variable where, Y = The number of days in a week...

Y is a Binomial random variable where, Y = The number of days in a week someone goes to the gym.

Where a week has 7 days and the probability of someone going to the gym on any given day is .65.  What is the probability that someone goes to the gym at least 3 days out of the week?

Hint: This is a cumulative probability, so you need to add up the probabilities of Y equaling all the possible values up to and including 3.

P(Y <= 3) = ?

(A) 0.2627

(B) 0.4694

(C) 0.3672

(D) 0.4718

Solutions

Expert Solution

Dear student,
I am waiting for your feedback. I have given my 100% to solve your queries. If you are satisfied by my given answer. Please like it☺
  
Thank You!!!


Related Solutions

A random variable Y whose distribution is binomial with parameters are n = 500 and p=...
A random variable Y whose distribution is binomial with parameters are n = 500 and p= 0.400, and here Y suggests the number of desired outcomes of the random experiment and n-Y is the number of undesired outcomes obtained from a random experiment of n independent trials. On this random experiment   p̂ sample proportion is found as Y/n. (Round your answers to 3 decimal places in all parts.) a)What is the expected value of this statistic? b)Between what limits will...
(a) Let X be a binomial random variable with parameters (n, p). Let Y be a...
(a) Let X be a binomial random variable with parameters (n, p). Let Y be a binomial random variable with parameters (m, p). What is the pdf of the random variable Z=X+Y? (b) Let X and Y be indpenednet random variables. Let Z=X+Y. What is the moment generating function for Z in terms of those for X and Y? Confirm your answer to the previous problem (a) via moment generating functions.
A binomial random variable with parameters n and p represents the number of successes in n...
A binomial random variable with parameters n and p represents the number of successes in n independent trials. We can obtain a binomial random variable by generating n uniform random numbers 1 2 n U ,U ,...,U and letting X be the number of i U that are less than or equal to p. (a) Write a MATLAB function to implement this algorithm and name the function gsbinrnd. You may use the for loop to generate random numbers. (b) Use...
Determine whether or not the random variable X is a binomial random variable. (a) X is...
Determine whether or not the random variable X is a binomial random variable. (a) X is the number of dots on the top face of a fair die (b) X is the number of hearts in a five card hand drawn (without replacement) from a well shuffled ordinary deck. (c) X is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which 0.02% of all parts are defective. (d) X...
Recall that for a random variable to be a binomial random variable, you must have an...
Recall that for a random variable to be a binomial random variable, you must have an experiment which meets the following three criteria: 1: There are exactly two outcomes for each trial. 2: There are a fixed number (n) of trials. 3: The trials are independent, and there is a fixed probability of success (p) and failure (q) for each trial. For each of the two situations described below, please indicate if the variable X (as defined in each situation)...
A random variable Y is a function of random variable X, where y=x^2 and fx(x)=(x+1)/2 from...
A random variable Y is a function of random variable X, where y=x^2 and fx(x)=(x+1)/2 from -1 to 1 and =0 elsewhere. Determine fy(y). In this problem, there are two x values for every y value, which means x=T^-1(y)= +y^0.5 and -y^0.5. Be sure you account for both of these. Ans: fy(y)=0.5y^-0.5
Determine whether or not the random variable X is a binomial random variable. If so, give...
Determine whether or not the random variable X is a binomial random variable. If so, give the values of n and p. If not, explain why not. a. X is the number of dots on the top face of fair die that is rolled. b. X is the number of hearts in a five-card hand-drawn (without replacement) from a well-shuffled ordinary deck. c. X is the number of defective parts in a sample of ten randomly selected parts coming from...
Question: Give an example of a hypergeometric random variable for which a binomial random variable is...
Question: Give an example of a hypergeometric random variable for which a binomial random variable is NOT a good approximation. You must describe each of the following: i. the experiment ii. a random variable X from the experiment and what X represents iii. the probability mass function (PMF) of X iv. a binomial random variable that approximates X and its parameters v. the PMF of the binomial random variable and why it's a good estimate of the PMF of X
Suppose that y = x2, where x is a normally distributed random variable with a mean
Suppose that y = x2, where x is a normally distributed random variable with a mean and variance of µx = 0 and σ2x = 4. Find the mean and variance of y by simulation. Does µy = µ2x? Does σy = σ2x? Do this for 100, 1000, and 5000 trials.
If x is a binomial random​ variable, use the binomial probability table to find the probabilities...
If x is a binomial random​ variable, use the binomial probability table to find the probabilities below. a. P(x<6) for n = 15, p=0.2 b. P(x>=14) for n=20, p=0.8 c. P(x=23) for n=25, p=0.1
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT