Probaility & Statistics

Problem: If Z is the standard normal random variable and Pr(-z < Z < z) = 0.6578, then z is? a. 1.00 b. 0.45 c. 0.95 d. 0.40 e. None of the above

Probability & Statistics

Problem 4. Let X denote the number of boys in a family with four children. Pr(X > 3) is? a. 5/16 b. ¼ c. 11/16 d. 2/3 e. None of the above

Probability and Statistics

Your score on three tests are 76,88, and 72. Your grade on the final exam will count twice as much as any one test grade in determining your average grade for the course. in order for your average grade for the course to be 82, your grade on the final exam must be: a. 85 b. 87 c. 77 d. 92

Solution pleas

1. There are 3 boxes. Each box contains several envelopes. Some envelopes have "you lose" written on them. The rest say "you win…" . However, of the ones that say "you win…" , some contain only a piece of paper saying "… nothing" . Each of the other contains a $5 bill. The first box contains 3 "lose" envelopes and 2 so-called ...continues

Solution please

2. Sally is at her house, and is going to toss a coin repeatedly. You are talking to Sally on the phone. After each toss of the coin, she will tell you (truthfully) whether the coin came up heads or tails. You know that Sally has a trick 2-headed coin, but you don't know whether she is going to toss that trick coin or an ordinar ...continues

Solution please

3. There are 13 standard decks of cards. Each deck is shuffled, separately. The 13 decks are lined up in a row on the table. The top card is drawn from each deck. What is the probability that at least 3 cards of each suit are drawn?

Solution please

4. A hand of 5 cards contains 2 red cards and 3 black cards. Trish plays the following game: A card is drawn from the hand. If the card is red, the game stops immediately. If the card is black, this black card is set aside and a red card is put into the hand in its place. Then another card is drawn from the hand and the same pro ...continues

Soluton please

5. Let E be the event that the number which comes up when a single die is tossed is divisible by 3. Let X be the number of times that event E occurs in 3 tosses of the die. (a) Make a table showing the pdf and the cdf of X. (b) Find E(X) and V(X).

Solution please

6. Use the Binomial tables to find the following values: (a) Pr[B(10, .3)>4] (b) Pr[3≤B(7, .2) (less than) 6] (c) Pr[B(12, .6) ≥7]

Solution please

7. There are some tokens in a bag. Each token has a number ( a positive integer) printed on it. Ernesto does not know how many tokens are in the bag, and the only thing he knows about the numbers on them is that the mean of the numbers is 3 and the variance is 2. Ernesto is going to play a game in which he draws 1 token from th ...continues