Let X be a discrete random variable that can take on values 1,2,3, or 4. The following the F(X), cumulative distribution function table for X. X x=1 F(x)= P(X ≤ x) 0.2 What is the probability that X is equal to 4 ? Round to the nearest 1st decimal place, 0.x x=2 0.5 x=3 0.9 |x=4 1

The random variable X has the probability distribution given in the following table. 1 2 3 4 5 P(X = x) 0.03 0.27 where a, b and e are constants. It is given that E(X) = 3.5 and Var(X) = 1.17. Find the values of a, b and c.

In the table below x denotes the X-Tract Company’s projected annual profit (in $1,000).  The table also shows the probability of earning that profit.  The negative value indicates a loss.   x f(x)   x = profit   -100 0.01   f(x) = probability -200 0.04       0         100 0.26       200 0.54       300 0.05       400 0.02         6 The probability that X-Tract will break even is, f(x = 0) = ________. a 0.06           b 0.07           c 0.08           d 0.09

I am in Prob/Stat!   Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places. x P(x)     0 0.15 1 0.15 2 0.2 3 0.5 I have multiplied P by x, thus, P(x) as such: 0.15(0)   =   0 0.15(1)   =   0.15 0.2(2)      =   0.4 0.5(3)      =   1.5 I then add the four together to get the sum of; 2.05.   What am I doing wrong?  Am I not finding the standard deviation correctly?? Thank you in advance!

Let X represent the number of homes a real estate agent sells during a given month. Based on previous sales records, she estimates that P(0)= 0.62, P(1)= 0.21, P(2)= 0.13, P(3)= 0.03, P(4)= 0.01, with negligible probability for higher values of x. Find the long-term average number of homes the real estate agent expects to sell each month.

A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. P(x) 0.088 1 0.331 2 0.409 3 0.172 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x is categorical instead of numerical. D. No, the random variable x's number values are not associated with probabilities. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. adult(s) (Round to…