Probability Scores 3 7 8 9 10 12 0.05 0.25 0.35 0.1 0.05 0.1 0.1 W|N 13 Find the expected value of the above random variable.

K The following data represent the number of games played in each series of an annual tournament from 1921 to 2001. Complete parts (a) through (d) below. x (games played) 4 5 Frequency O A. x (games played) P(x) 4 0.2125 5 0.2222 6 0.2625 7 0.3250 (Round to four decimal places as needed.) (b) Graph the discrete probability distribution. Choose the correct graph below. 0.5 6 17 16 21 26 AP(x) X = Q Q OB. AP(x) 7 Q 0.5- O C. Q054 AP(x) √i Vi 1₁ OD. 0.5 AP(x) More Next

0.25 0.2 0.15 0.1 0.05 0 1 2 3 4 5 6 7 8 9 10 number of successes Use the above histogram of the binomial random variable to find the probability of success, p, where p is a multiple of 0.05. Submit Question

Find the expected value of the random variable. 3 4 5 0 P(x) 0.2 0.3 0.4 0.1 2.

Probability Scores 0.05 3 0.1 4 0.25 5 0.05 7 0.4 11 0.15 14 Find the expected value of the above random variable.    Next Next Question

Find the expected value for the random variable (see image)

Profit Probability $-1 125/216 $1 75/216 $2 15/216 $3 1/216 Compute the mean of the random variable X. Hx = - 1 Hx=1.5 Hx = -.079 Hx = 1.24

4 students apply to a PhD program.  The program rejects 45% of all applicants.  Students are accepted and rejected independently of each other.  Let the random variable X represent the number out of the 4 students who get rejected into the PhD Program. (Hint: Binomial distribution with n=4, P=45%)   What is the mean of the random variable?  (round your answer to 4 decimal places)

Scores Probability 1 6 9 11 14 0.05 0.05 0.25 0.15 0.5 Find the expected value of the above random variable.

Probability Scores 0.1 0 0.1 1 0.05 3 0.1 7 0.25 8 0.15 11 0.25 14 Find the expected value of the above random variable.