In general, if is the number of “successes” in a series of trials, then  is a binomial random variable if the following four conditions are met:   The number of trials is fixed. Each trial results in either success or failure. The probability of success is the same for each trial. The trials are independent.   Suppose we are testing for viral infections in a batch of one hundred blood samples. We randomly select  blood samples to test. (A sample is discarded after being tested.) Let  the number of samples that test positive. Is  a binomial random variable? Why or why not?

Q: ou observe squirrels in the park and notices that some are black and some are gray. For the next…

A: GIVEN DATA, . Suppose X is a binomial random variable with n = 5 and p = .50q=1-0.50=0.50x= no. of…

Q: On an entrance examination for Fairlywell College, % of the students pass the mathematics sections,…

A: event  A: pass mathematics test B: pass English test

Q: (a) List the other 23 possible outcomes. (b) Let x denote the number of students who receive their…

A: After all students have left the classroom, a statistics professor notices that four copies of the…

Q: In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: Given data is sample size(n)=10p=33%=0.33Let "x" be the no.of majors belong to ethnic…

Q: Insurance. The annual premium for a $20,000 insurance policy against the theft of a painting is…

A: We have given that Return values = 20000 - 300, -300                         = 19700, -300  And,…

Q: Which of the following is NOT a property of a binomial experiment?   a. The trials are independent.…

A: Note: An experiment consisting of a fixed number of independent trials each with two possible…

Q: A person rolls a die, tosses a coin, and draws a card from an ordinary deck. He receives $\$ 3$ for…

A: suppose that x, y and z are associating uniformly distributed R.V. (random variable) which implies,…

Q: An number cube (a fair die) is rolled 3 times. For each roll, we are interested in whether the roll…

A: No. of times the cube is rollede= Even outcomeo= Odd outcomeN= The random variable denoting the no.…

Q: A game is played with an unusual eight-sided die.  Two faces of the die show a cat, four faces of…

A:

Q: The number of new categories added each year to a major engineering handbook has been found to be a…

A: (i) Consider a random variable X which represents the number of categories that will be added each…

Q: A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the…

A: Given that  Two dies are rolled. The possible outcomes are  (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)…

Q: A survey conducted on a group of patiènts šhowed that these pa lung disease only or both diseases.…

A: Given that 60% patients are men. Among the men : 20% have a heart disease only and 50% have a…

Q: An asset manager is compensated daily on the basis of the number of new accounts that are opened…

A: Given below clear explanation

Q: If A, B, C, and D, are the only possible outcomes of an experiment, find the probability of D using…

A: Given that Sum of all probability is equal to one

Q: 2. Each morning, the manager of a bakery has to decide how many cakes they should bake for sale that…

A: The random variable X indicates the demand for a cake. It takes values 0, 1, 2, 3, 4, 5, 6 and 7,…

Q: It has been found that 1 out of every 4 people who visit a local store purchase bread. If we…

A: Given,n=9p=14=0.25q=1-pq=1-0.25=0.75Let X=no.of visitors will purchase bread X~Binomial(n=9 ,…

Q: An experiment with outcomes x1,x2,x3,x4 and x5 is described by the probability table below. outcome…

A: Given, outcome x1 x2 x3 x4 x5 probability 0.15 p 0.25 2p 0.3 p=?

Q: If two coins are toosed, which is not a possible value of the random variable for the number of…

A: Random variables are determined by each trial or experiment from which the outcome cannot be…

Q: A binary message (0 or 1) is transmitted through a noisy channel. Let X be the message transmitted,…

A: Correct option is A True

Q: The probability of the occurrence of event A in an experiment is 1/2. If the experiment is performed…

A: Explanation:here given the 1/2 experiment asked the two times event did not occur  What is the third…

Q: a. A fleet of sixteen taxis is to be dispatched to three airports in such a way that three go to…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , AS YOU POSTED A AND B TOTALLY…

Q: This will be involving the rolling of a die. Assume that the die is weighted so that the probability…

A: Given that We are given here that: P(D = 1) = 0.1 P(D = 2) =0.2 P(D = 3) = 0.1 P(D = 4) = 0.1 P(D =…

Q: Consider a lake with a population of bass living in it. The population has 2,200 males and 1,500…

A: Consider the lake with population has 2200 males and 1500 females. The samples are selected with…

Q: 3. Suppose that all of the outcomes of a random variable are {a,b,c,d,e}, and that each outcome as…

A: Given: The events A={a,b}, B={b,c}, and C={c,d}, and D={e}. To determine whether events A and B are…

Q: A family has two children. If the genders of these children are listed in the order they are born,…

A: First, we need to identify the possible outcomes. In this case, the outcomes are the possible…

Q: Craps. The game of craps is played by rolling two balanced dice. A first roll of a sum of 7 or 11…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Suppose a certain brand of cereal boxes contain pictures of 3 athletes. 20% of the cereal boxes…

A: Introduction: The pictures are of Player R, Player D, and Player L. Since 20% of the pictures are of…

Q: 2/5 of the marbles in a jar are red, and 1/4 are green. One-quarter of the red balls and one-fifth…

A:

Q: This problem involves inspection at a widget factory. Assume that a box contains 3 defective widgets…

A: Assume that a box contains 3 defective widgets and 13 acceptable widgets. There are 4 inspectors,…

Q: A recent survey of post-secondary education students in Canada revealed that 75% are confident in…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: A medical test is used to detect a particular disease. Suppose that 0.2% of the population has the…

A: We have to use Bayes theorem to find the conditional probability.

Q: A raffle for a charity fund-raiser is being planned. Each of 2000 raffle tickets will be sold for…

A: The objective of this question is to find the expected value of the random variable W, which…

Q: A certain virus infects one in every 200 people.  A test used to detect the virus is positive 80% of…

A:

Q: QUESTION 9 A pizza restaurant offers 18 different toppings: 6 of them are vegetarian and 12 of them…

A:

Q: A family has two children. If the genders of these children are listed in the order they are born,…

A: In this case, the random variable X represents the number of girls in the family. Therefore, the…

Q: Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students…

A: P(high school students of eating pizza), P(A) = 0.333 P(high school students of drink soda), P(B) =…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.