2. The failure of power transformers is assumed to follow a Poisson probability distribution. Suppose on average, a transformer fails once every 10 years.What is the probability that it will not fail in the next 12 months? That it will fail once in the next 24 months?

Q: Fourteen people apply for a teaching position in mathematics at a local college. Eight have a PhD…

A: M=8, N=14, n=5 X~HG(5,14,8)

Q: 3. Fill in the blanks Consider the right angle triangle with vertices at (0, 0), (2, 0). (0, 2). A…

A: As per guidelines we will solve the first question only, please repost other questions for more…

Q: #4 A bowl contains 5 red beads, 6 blue beads, and 3 violet beads. If 3 beads are picked at random,…

A: Given,no.of red beads=5no.of blue beads=6no.of violet beads=3Total no.of beads=14

Q: c. Draw two balls with replacement. What is the probability that the number of red balls in the…

A: c. Given: Urn contains 26 red, 17 green, and 12 yellow balls. Two balls are drawn with replacement.…

Q: a) Two events, A and B, are such that P(A U B) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine (i) P…

A: P(A∪B)=0.86P(B) = 0.72P(A) = 0.64

Q: The sales force of a business consists of 10 men and 10 women. A production unit of 4 people is set…

A: We have, 10 men and 10 women, and we need to select 4  people randomly from them in which at least…

Q: a) find the probability of event A (b) find the probability of event B  (c) find the probability…

A: It is given that there is a pair of dice. One is in green color and one is in red color. The random…

Q: An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and…

A: It is given that Number of red chips = 8 Number of green chips = 10 Number of white chips = 2 Total…

Q: Two fair 6-sided dice are rolled. Let A = the event that the dice add to 8, and let B= the event…

A:

Q: 32% students get A grade and 68% students get less than A grade in the school  in the class there…

A:

Q: Julia such a passcode and her tablet which only allows five digit codes she has heard that it's more…

A: Given that the password is 5 digit long and there is one digit repeating.The spy knows 4 digits.He…

Q: The probability that a patient recovers from a rare blood disease is 0.4. If 15 people are known to…

A: Solution: From the given data, The probability that a patient recovers from a rare blood disease = p…

Q: Michael plays a free throw game. The probability that he scores is 0.6. Michael takes 5 attempts.…

A: Given,n=5p=0.6A random variable X~Binomial(n=5 , p=0.6)P(X=x)=5x 0.651-0.65-x  ;  x=0,1,2....5

Q: (c) the first is blue and the second and third are not blue

A: total number of beads contains in a bowl = 1414 beads = 5 red beads + 6 blue beads + 3 violet beads3…

Q: shuffled. What is the probability of drawing the letter n? Write your answer in SIMPLES…

A: Each card in a set of cards has one of the letters from the words Lake Nona Middle School. The cards…

Q: Question 2: Find the probability of getting a number less than 5 when a dice is rolled by using the…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed…

Q: fou randomly select one card from a 52-card deck. Find the probability of selecting the seven of…

A: As per given by the question, there are randomly selected one card from 52-card deck. fin the…

Q: Random Digits Computers are commonly used to randomly generate digits of telephone numbers to be…

A: Uniform distribution:If the distribution of a continuous random variable is evenly spread for the…

Q: A company announces that it will soon release a cheap Smart Watch. It opens a contest to guess the…

A: From the given information, it is clear that,  Number of entries n=52 First we have to calculate the…

Q: An airplane has 100 seats for passengers. Assume that the probability that a person holding a ticket…

A: Let be the random variable the no. of ticket holders who show up for the flight.The probability…

Q: A student's alarm clock fails to go off 1 time out of 3. In addition, the student misses the bus…

A: Let us denote the events: A: Alarm works. B: student miss the bus C: Student arrives the class late.…

Q: The second question:- A box contains 6 white balls, 7 black balls, and 2 red balls 1- When two balls…

A: Probability is the chance of occurrence of an event which is equals to ratio of number of favourable…

Q: Silly that when a couple has he children, at land one of them is a boy sume that boys and girls w…

A: From the provided information,a couple has two children that is n = 2Probability of girl (p) = 0.5

Q: Q1\ A box contains 8 red balls, 5 yellow balls, 3 black balls, and 4 pink balls. If a balls is…

A:

Q: Bonus +4 Suppose you roll six dice at once and are asked to find the probability that a 4 was rolled…

A: Given problem Given that   Suppose you roll six dice at once . We have to find the probability…

Q: 15. There is an average of month has 30 days. (a) What is the probability of three or more accidents…

A: Given that  Average number of accidents in 30 days = 4 X ~ Poisson (Mean = 4)

Q: Let the probability of success in shooting player A is 1/4, and the probability of success in…

A:

Q: Q1: In an engineering design company, the first engineer can complete the design accurately with…

A: Based on the provided information, the known values are, P1st engineer=45  P2nd engineer=34  P3rd…

Q: An urn contains 8 white and 3 red balls. If two balls are drawn at random, find the probability that…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Considering this information, what is the probability of getting (exactly) one house?

A:

Q: Um 1 contains 3 red and 7 white balls. Um 2 contains 7 red and 2 white balls. A ball is drawn from…

A: * SOLUTION :-  Based on above information  the calculations are as follows

Q: A- the probability ofunion events A and B as in equation below Explain the reason of subtraction the…

A: Probability of union of two events A and B, indicates the probability of occurence of event A or…

Q: (CO 2) Two cards are selected with replacement from a standard deck of 52 cards. Find the…

A:

Q: Probability Your friend has a game night every week. For fun, he uses a fake 6-sided die on certain…

A: The required value is given by the fundamental theorem of probability which states that the sum of…

Q: A specially made pair of dice has only one- and two-spots on the faces. One of the dice has three…

A: Let’s analyze the problem step by step:We have two dice:Dice A: Three faces with one spot and three…

Q: you rout toss a the number an ordinary six-side die Let the random of Tails Coin. Seen once and then…

A: Here T represents the number of tails. When we toss a coin then there are only 2 possible outcomes.…

Q: An experiment consists of tossing 3 fair (not weighted) coins, except one of the 3 coins has a head…

A:

Q: a) Two events, A and B, are such that P(A O B 0.86, P(B) 0.12 ánd PA)= 0.64. Determine ( 6 ) P (An…

A: P(A U B) = 0.86 P(B) = 0.72 P(A) = 0.64