The runs scored in a cricket match by 11 players is as follows: 7, 16, 121, 51, 101, 81, 1, 16, 9, 11, 16 Find the mean, mode, median of this data.

/in /by

The runs scored in a cricket match by 11 players is as follows:

7, 16, 121, 51, 101, 81, 1, 16, 9, 11, 16

Find the mean, mode, median of this data.

You might also like
Suppose I play a gambling game where I either win or lose k dollars. Suppose further that the chance of winning is p = .5. I employ the following strategy to try to guarantee that I win some money. I bet $1; if I lose, I double my bet to $2, if I lose I double my bet again. I continue until I win. Eventually I’m sure to win a bet and net $1 (run through the first few rounds and you’ll see why this is the net). If this really worked casinos would be out of business. Our goal in this problem is to understand the flaw in the strategy. (a) Let X be the amount of money bet on the last game (the one I win). X takes values 1, 2, 4, 8, . . . . Determine the probability mass function for X. That is, find p(2k), where k is in {0, 1, 2, . . . }. (b) Compute E(X). (c) Use your answer in part (b) to explain why the stategy is a bad one.
Let R be the rate at which customers are served in a queue. Suppose that R is exponential with pdf f(r) = 2e−2r on [0, ∞). Find the pdf of the waiting time per customer T = 1/R.
Corrupted by their power, the judges running the popular game show America’s Next Top Mathematician have been taking bribes from many of the contestants. Each episode, a given contestant is either allowed to stay on the show or is kicked off. If the contestant has been bribing the judges she will be allowed to stay with probability 1. If the contestant has not been bribing the judges, she will be allowed to stay with probability 1/3. Suppose that 1/4 of the contestants have been bribing the judges. The same contestants bribe the judges in both rounds, i.e., if a contestant bribes them in the first round, she bribes them in the second round too (and vice versa). (a) If you pick a random contestant who was allowed to stay during the first episode, what is the probability that she was bribing the judges? (b) If you pick a random contestant, what is the probability that she is allowed to stay during both of the first two episodes? (c) If you pick random contestant who was allowed to stay during the first episode, what is the probability that she gets kicked off during the second episode?
Let X be a discrete random variable with pmf p given by: x −2 −1 0 1 2 p(x) 1/15 2/15 3/15 4/15 5/15 (a) Let Y = X2. Find the pmf of Y . (b) Find the value the cdf of X at -1/2, 3/4, 7/8, 1, 1.5, 5. (c) Find the value the cdf of Y at -1/2, 3/4, 7/8, 1, 1.5, 5.
A multiple-choice test has ten questions, each with five choices for the answer. Only one of the choices is correct. You randomly guess the answer to each question. What is the probability that you answer the first two questions correctly? a) 0.2 b) 0.4 c) 0.02 d) 0.04
Suppose Z ∼ N(0,1) and Y = e . (a) Find the cdf FY (a) and pdf fY (y) for Y . (For the CDF, the best you can do is write it in terms of Φ the standard normal cdf.) (b) We don’t have a formula for Φ(z) so we don’t have a formula for quantiles. So we have to write quantiles in terms of Φ−1. (i) Write the 0.33 quantile of Z in terms of Φ−1 (ii) Write the 0.9 quatntile of Y in terms of Φ−1. (iii) Find the median of Y .
Let X have range [0,3] and density fX(x) = kx2. Let Y = X3. (a) Find k and the cumulative distribution function of X. (b) Find the 30th percentile of X. (c) Compute E(Y ). (d) Write down an explicit formula, involving an integral, for Var(Y ). (Do not compute the value of the integral.) (e) Find the probability density function fY (y) for Y .
Forty-three race cars started the 2007 Daytona 500. How many ways can the cars finish first, second, and third?