If there are 60,190 days in a year in Neptune, how many Neptunians can be placed in a room in Neptune so that we can expect that there are at least 1 pair who has the same birthday? (use indicator random variables for the solution)

Q: manufacturing machine has a 10% defect rate if 8 items are chosen at a random what is the…

A: It is given that  A manufacturing machine has a 10% defect rate i.e. probability that a machine has…

Q: A psychology class consists of 28 males and 32 females. If the professor selects names from the…

A: Given Total students=28+32=60 Male =28 Female =32

Q: balls are drawn in succession without replacement from an urn containing 3 red balls and 5 blue…

A: The urn contains 3 red balls and 5 blue balls. The random variable represents the number of red…

Q: A manufacturing machine has a 1% defect rate. If 7 items are chosen at random, what is the…

A: X~ Binomial(n , p) Formula:   P(X= x) = nxpx(1-p)n-x ; x = 0,1,2,..,n

Q: A manufacturing machine has a 3% defect rate. If 7 items are chosen at random, what is the…

A: Let x follows binomial distribution with parameters n = 7 and p = 0.03   The pdf of binomial…

Q: A manufacturing machine has a 3% defect rate. If 6 items are chosen at random, what is the…

A: Given Data: The defect rate of the machine is: p=3%=0.03 The number of items chosen is: n=6   The…

Q: If a manufacturing machine has a 7% defect rate and 6 items are chosen randomly what is the…

A: Defect rate of the manufacturing machine is 7%. The items taken for sample is 6.

Q: Suppose that a box contains 8 cameras and that 3 of them are defective. A sample of 2 cameras is…

A:

Q: A basket contains 3 white, 3 yellow, and 4 black transistors. If a transistor is randomly picked,…

A: Number of white transistors in basket = 3Number of yellow transistors in basket = 3Number of black…

Q: A psychology class consists of 28 males and 32 females. If the professor selects names from the…

A: a). Total number of students: 28+32=60 Probability that the first student selected will be a female:…

Q: A manufacturing machine has a 5% defect rate. If 3 items are chosen at random, what is the…

A: Let "X" be the manufacturing machine has a defect.

Q: A patient fills a prescription for a 10-day regimen of 2 pills daily. Unknown to the pharmacist and…

A:

Q: A manufacturing machine has a 4% defect rate. If 4 items are chosen at random, what is the…

A:

Q: The hours of time that is required to repair an engine is modeled as a Weibull random variable with…

A: Let us define the random X as the hours of time that is required to repair an engine is modeled as a…

Q: A 4-sided die is fair and the sides are numbered 1, 2, 3, 10.  This die is rolled twice and the…

A: The four sided die has numbers 1, 2, 3, 10.

Q: From a bin of 50 parts, 6 parts are selected randomly without replacement. The bin contains 3…

A: Given  Total parts=50 6 parts have been selected from 50 parts Defective parts=3 Non-defective parts…

Q: If a manufacturing machine gas a 5% defect rate and 9 items are chosen randomly what is the…

A: We have to use Binomial distribution. If x follows Binomial distribution with parameter n and p then…

Q: A fishbowl contains 3 green balls, 2 blue balls, and 4 red balls. In a random sample of 5 balls,…

A: Given information: Total number of green balls in fishbowl(G) =3. Total number of blue balls in…

Q: A manufacturing machine has a 10% defect rate. If 3 items are chosen at random, what is the…

A: 1) It is given that p=0.10 and n=3.

Q: Ten peas are generated from parents having the green/yellow pair of genes, so there is a 0.75…

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials,…

Q: A manufacturing machine has a 5% defect rate. If 4 items are chosen at random, what is the…

A: here 5% defect rate so 0.05 and 4 items chosen so put 4 in power

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

A: Farmula used  nCr=n!/(r!(n-r)!)  r!=r(r-1)(r-2)x....x3x2x1

Q: Suppose a box contains 6 marbles and 4 red marbles. What is the probability of picking two…

A:

Q: When an adult over the age of 50 is selected, there is a 0.63 probability that they know what TikTok…

A: Binomial distribution is a discrete distribution that gives the probability for successes for a…

Q: In some city, 50% of the eligible voters prefer candidate A, 40% prefer candidate B, 10% have no…

A: 1. It is given that, 50% of the eligible voters prefer candidate A and 12 eligible voters are…

Q: Karin has a 60% chance of making a free throw, every time she attempts one.  Also, the result of any…

A: Given p = 0.60           n = 20  Let X be the random variable the number of misses X ~ B(n, p)…

Q: Two transistors are chosen at random from 12 transistors of which 4 are defective. Find the…

A: Given, Total number of transistors = 12 Defected number of transistors = 4 Crn=n!(n-r)!n!

Q: In a shoe factory, uppers, soles and heels are manufactured separately and randomly assembled into…

A: Given: Percentage of soles having flaw 3%. Percentage of uppers having flaws 5%. Percentage of…

Q: Suppose that a box contains 8 cameras and that 3 of them are defective. A sample of 2 cameras Is…

A: It is given that the box has total 8 camera out of which 3 are defective. A sample of 2 camera is to…

Q: In a local college, 60% of students own a car. For this binomial random variable, assume that we…

A: We have given that  X~Binomial(n,p) And we want to the value of n,p,k and q

Q: A manufacturing machine has a 8% defect rate. If 6 items are chosen at random, what is the…

A: Given data:   The given probability of defect rate is p=8%=0.08. The given numbers of items are n=8.…

Q: If 2 of 20 tires are defective and 8 of them are randomly chosen for inspection.what is the…

A:

Q: A three-person committee is chosen at random from group of 5 women and 4 men. Find the probability…

A: Please see the below explanation

Q: There are 10 bills in the box ( 3x $1, 2x $5, 4x $10, and one bill with value $20). Choose one of…

A: It is given that there are 10 bills in the box. There are three $1 bills, two $5 bills, four $10…

Q: A psychology class consists of48 males and 62 females. If the professor selects names from the class…

A:

Q: A manufacturing machine has a 8% defect rate. If 3 items are chosen at random, what is the…

A: From the provided information, A manufacturing machine has an 8% defect rate that is p = 0.08 Sample…

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

A:

Q: If 30% of the bolts produced by a machine are defective, determine the probability that out of 4…

A:

Q: In a club consisting of 8 males and 4 females, 5 members will be selected to represent the club in a…

A: Given There are 8 males and 4 females. Out of which 5 members will be selected. F represents the…

Q: A manufacturing machine has a 2% defect rate. If 7 items are chosen at random, what is the…

A: Let us denote  X=the number of items that are defective n=number of trials=7 p=probability of…

Q: Find the probability of getting a total of 4 atleast once in 3 tosses of a pair of Jair dice?

A:

Q: An urn has 13 balls that are identical except that 7 are white and 6 are red. A sample of 8 is…

A:

Q: Two balls are selected at random from an urn that contains six black balls and six red balls. What…

A:

Q: students were assigned a quiz that contains 7 independent multiple-choice problems. Each problem was…

A: X=a random variable representing the score of the pirate on the FIRST problem of the quiz n=number…

Q: An analyst is presented with lists of 4 stocks and 5 bonds. He is asked to predict, in order, the 2…

A: An analyst is presented with lists of 4 stocks and 5 bonds. The 2 stocks that will yield the highest…

Q: Give 7 other examples of random variables.

A: A random variable is a set of possible values from a random experiment.

Q: An urn has 9 balls that are identical except that 3 are white and 6 are red. A sample of 4 is…

A: We can pick 2 white balls from 3 white balls in 3C2 =3 ways  We can pick 2 red balls from 6 red…

Q: Suppose that 30% of all college freshmen gain weight. A sample of 18 is selected randomly. What is…

A: Given ,n=18p=0.30X=no.of freshmen gain weightX~Binomial(n=18 , p=0.30)P(X=x)=cxn  px (1-p)n-x     ;…

Q: A manufacturing machine has a 5% defect rate. If 5 items are chosen at random, what is the…

A:

Q: A basket contains 4 white, 5 yellow, and 4 black transistors. If a transistor is randomly picked,…

A: