derive the expected number of the upturned face of a tetrahedron.

Q: A container includes six components from supplier A, seven from supplier B, and eight from supplier…

A: Given that, A container includes six components from supplier A, seven from supplier B, and eight…

Q: A group of 300 people are being split into teams of 3 (where order of teams and order within a team…

A: Given that: Number of people in a group, n = 300 Here, each team containing 3 people, x = 3

Q: A cubic die is biased, so that for each integer n, 1 ≤n ≤6, the probability of the event {n} is…

A:

Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random,…

A:

Q: Suppose that a box contains 5 RED blocks, 3 BLUE blocks, and 6 GREEN blocks. Suppose that 8 are…

A: Consider a random variable X which represents number of red balls drawn. It will follow…

Q: Suppose that a coin biased to heads ,P(head)=0.65, is flipped 20 times Find the expected number of…

A: Solution: Let X be the number of heads and n be the number of times a coin is flipped. From the…

Q: (b) The number of red balls in a sample of 8 balls chosen at random from a box contains 30 balls of…

A: We have to find the mean and variance of Hypergeometric distribution.

Q: Build a table to show all the possible outcomes for rolling a 6 sided die with an 8 sided die.

A: As per our guidelines, we are allowed to answer first question only. Thanks   1) Build a table to…

Q: There are 5 coins in a bag: 3 weighted coins with Pr[H] = 8/9 and 2 fair coins. One is chosen at…

A: Two cases can occur while choosing a coin.  We can pick either a weighted coin or we can pick a fair…

Q: The tickets in a box have an average value of 75, and the SD is 10. Twenty-five draws are made at…

A:

Q: In an exam, 15% got an “B” mark, 10% get a “A”, and the other 75% get below that. Six students from…

A: Percentage of student got B marks is 15%. Percentage of student got A marks is 10%. Percentage of…

Q: Suppose that we have a standard 52 card deck and suppose that it takes A cards until we get an ace.…

A: In a 52 card deck there are 4 ace. The number of ways a spade can be chosen in any trial = 4.  Hence…

Q: For a group of 115 people, what is the expected number of days of the year that are birthdays of…

A: Given : a group of 115 people , n = 115 Probability of a birthday on a particular day = 1/365 =…

Q: In an experiment where 2 balls are drawn successively at random without replacement from a box…

A: The total number of balls is 2+3+2 =7

Q: A survey of cars on a certain stretch of highway during morning commute hours showed that 55% had…

A: The random variable X has the following probability mass function:

Q: An urn holds 10 identical balls except that 2 are white, 2 are black, and 6 are red. An experiment…

A: It is given that there are 10 balls. But only 3 types of them are there.

Q: A company selling substandard drugs to developing countries sold 2,000,000 capsules with 60,000 of…

A: Provided information is, a company selling substandard drugs to developing countries sold 2,000,000…

Q: of the physics graduates of a university, 30% received a starting salary of 30000 or more. if 5 of…

A: According to the provided information, Of the physics graduates of a university, 30% received a…

Q: A popular state lottery is played with prizes that are set: First prize is $70,000, second prize is…

A: We can pick any 5 numbers from 35 numbers in 35C5=324632 ways   First prize: We can select all the…

Q: An urn contains four balls numbered 3, 5, 8, and 10. If a person selects a set of two balls at…

A: An urn contains four balls numbered 3, 5, 8, and 10 and a person selects a set of two balls at…

Q: Q1)A nisy transmission channel has a per digit error probability Pe=001 Calculate the propability of…

A: Note: As per guidelines ,we are supposed to solve only one question at a time. please repost the…

Q: A package contains ten yellow, six green, eight purple, and nine red candies mixed together. What is…

A: here given A package contains ten yellow, six green, eight purple, and nine red candies mixed…

Q: ur out of five Filipinos under the age of 30 eat rice for breakfast. If a ndom sample of 15 adults…

A: We have given that  Sample size n= 15  Success of probability = 4/5= 0.80 X~binomial ( n,p)

Q: A committee of 4 is to be randomly selected from 8 women and 10 men. What is the expected number of…

A:

Q: Assume that the box contains 5 balls: 1 red, 1 yellow, and 3 green. Balls are drawn in succession…

A: The red ball can be withdrawn in 5 types of withdrawals. [First / second / third / fourth / fifth…

Q: From a group of 3 women and 5 ​men, a delegation of 3 is selected. Find the expected number of women…

A:

Q: An urn contains four balls numbered 1, 2, 5, and 7. If a person selects a set of two balls at…

A:

Q: A group of 300 people are being split into teams of 3 (where order of teams and order within a team…

A: nCr=n!r!n-r!

Q: An urn contains four balls numbered 1, 3, 4, and 6. If a person selects a set of two balls at…

A: Given that there are 4 balls.A person selects two balls. So total number of outcomes=4C2=6So the…

Q: Assume that the drawer contains 8 coins: 5 quarters, 2 dimes, and 1 nickels. One coin is randomly…

A: The probability of selecting quarter is 5/8The probability of selecting dime is 2/8The probability…

Q: A machine puts out 16 imperfect articles in a sample of 500. After the machine is overhauled, it…

A:

Q: A machine puts out 16 imperfect articles in a sample of 500. After the machine is overhauled, it…

A:

Q: Based on a sample survey, a company claims that 75% of their customers are satisfied with their…

A:

Q: An integer is chosen at random from the first two lundred digits. What is the probability that the…

A:

Q: 5) Families with 5 children are randomly selected, find the expected number of boys a family might…

A: (5) The no.of children in a family is, n=5 The probability of select boy child is, p=0.5 Let the…

Q: An urn holds 14 identical balls except that 3 are white, 7 are black, and 4 are red. An experiment…

A: There are total 14 balls. But only 3 types of them are there.  Let us denote W=white , B=black and…

Q: A professional basketball star who had a reputation for being a poor free throw shooter made 5210 of…

A: For case one the required proportion P is calculated as: P=Number of free throws that were made…

Q: A player tosses two coins, if two head appears he wins 4, if one head appears he wins 2, but if two…

A:

Q: The tickets in a box have an average value of 75, and the SD is 10. Twenty-five draws are made at…

A:

Q: In a survey of the weights of the backpacks of 52 students, 11 students' weighed between 0 and 12,…

A: Solution: The given data is

Q: What is the expected number of red marbles?

A: Here Given  Total No of BAG=3+4+5=12 No of Red marbles=3

Q: An urn contains 7 white and 3 red balls. Two balls are drawn together at random from the urn. Find…

A: GivenNo.of white balls = 7No.of red balls = 3Total no. of balls = 10Let "x" be the no.of white balls

Q: If 4 coins are tossed 256 times, find the expected frequencies of 4, 3, 2, 1 and 0 heads, when p 1/4…

A:

Q: from the Table of Random Digits is shown below. Use the random digits to generate 5 random numbers…

A: Given: A line of random number table.

Q: A professional basketball star who had a reputation for being a poor free throw shooter made 5236 of…

A: (a). Check whether the proportion of successful free throws P from the simulation reasonably close…

Q: A researcher hypothesizes that freshmen, sophomores, juniors, and seniors are represented equally…

A: Expected value: The expected frequency for the chi-square test is N× pi.