1. Two persons, A and B, are to play a serious of independent games, with A’s winning probability in each game = p and B’s winning probability = q = 1 – p. The game ends when the total number of winnings...
1. Two persons, A and B, are to play a serious of independent games, with A’s winning probability in each game = p and B’s winning probability = q = 1 – p. The game ends when the total number of winnings...
4 fair coins are simultaneously flipped and 1 fair 4-sided die (with numbers 1-4 on the faces) is tossed. What is the probability that the number of heads is equal to the number that comes up on the...
The number of calls coming to a call center follows a Poison distribution. On average 90 calls arrive every hour on Mondays between 10 am and 11 am. The probability that exactly three calls will arrive...
Four balls with different colors: red, yellow, green, and blue, are placed in a box. Every time Amy picks up a ball, then puts it back to the box and draws one again, repeating it five times. a)...
An unfair coin with Pr[H] = 0.6 is flipped. If the flip results in a head, one student is selected at random from a class of 6 girls and 4 boys. If the flip results in a tail, one student is selected...
8 fair coins are simultaneously flipped and 1 fair 8 sided die (with numbers 1 - 8 ) is tossed. What is the probability that the number of heads is equal to the number that comes up on the die?
A committee of four people is to be formed from 6 lawyers and 8 teachers. Find the probability that two are teachers and two are lawyers. Round to the nearest tenth of a percent. A. 42.0% B...
Find the value of the probability of the standards normal variable Z corresponding to the shaded area under the standards normal curve. 1. P(Z<1.45) 2. P(Z>1.11) 3. P(0.3<Z<1...
Please help! Eva and brooke compete in a mathd contest as a team. The contest consists of two maths papers taken on separate occasions. The probability that they get a pass on the first paper...
Suppose we have a biased coin, with a probability p of coming up heads and q=1-p of coming up tails on any given toss, but we are not given what p or q are. We know from class that the expected value...
For this problem, assume that 2, 6, 5, and 4 are equally likely, a 1 is three times as likely as a 4, and a 3 is four times as likely as a 1. (1) What is the value of w2? (2)...
Assume that 12 students, including John, are working on the project report, which contains an introduction, 4 chapters, and a conclusion for a total of 6 sections. (1) In how many ways can the...
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a) How many ways can the dealer get exactly one car with problems? b) How many ways can the dealer get at least one car with problems? c) What is the probability that the dealer will receive...
I'd like to know the formula if you answer my question. Thank you. A participant in our office football pool has won three times in the first eight weeks of the season (never happened...
Let X1, , X2 , X3 , …, X20 , be independent samples of a Poisson RV with mean 1. Use the central limit theorem to approximate P(∑_(i=1) to 20?Xi≥15)?
The response time of a system, X, is a random variable with a mean of 20 seconds and a variance of 20 seconds. What can be said about P[ 0 < X < 40 ] ?
a manufacture of halogen bulbs knows that 3% of the production of their 100W bulbs will dective
On a college entrance exam, each question has five possible answers. If you make a random guess on the 20th question, what is the probability that you are incorrect? I think that P(correct)=1/5...
A doctor has five doses of flu protection vaccine left. he has six women and eight men who want the medication. if the names of five of these people are selected at random determine the probability...