A recent study shows that over 1 year, the average number of major fires in a small Oregon city is 6. Find the probability that over 2 months, the probability that (a). at least 1 fire occurs. (b). at most 1 fire occurs.

Q: The probability that a customer will buy a car and an extended warranty is 0.16.  If the probability…

A: GivenThe probability that the customer will buy a car and extended warrenty is 0.16i.e.,P( purchase…

Q: A high school baseball player has a 0.159 batting average. In one game, he gets 9 at bats. What is…

A: We have to find given probability.

Q: The average time it takes a mechanic to change the oil in a car is 14 minutes. What is probability…

A: Here, μ=14 minutes.

Q: A coffee shop receives on average of 5 orders for every 30 minutes. What is the probability that…

A: A coffee shop receives on average of 5 orders for every 30 minutes. What isthe probability that they…

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

A: Given,n=15p=0.4Let X=no.of patients survives from the blood diseaseX~Binomial (n=15 ,…

Q: A high school baseball player has a 0.158 batting average. In one game, he gets 8 at bats. What is…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: An airline company knows by experience that on average 5 % of passenger who have reserved a seat…

A: We can solve this problem by using binomial distribution.  Given 5% of people not arrive in the…

Q: The Philippine Institute of Volcanology and Seismology (PHIVOLCS) records an average of 20…

A: Givenan average of 20 earthquakes a dayλ=20 earthquakes a day x~poisson(λ=20)P(X=x)=e-λ×λxx!    ;…

Q: find the probability that exactly 2 people willget enough sleep each night?

A:

Q: A survey on airplane crash reveals that 2.2 airplanes of commercial airlines crashes per month. Find…

A: a) The Poisson probability distribution of random variable X is, PX=x=e-λλxx!;       x=0,1,2,… In…

Q: The average number of newspapers sold at a busy intersection during rush hour is 5 per minute. What…

A: Given that the average number of newspapers sold at a busy intersection during rush hour is 5 per…

Q: A traffic officer knows that there are 6 road accidents per day on average on the avenue he watches.…

A:

Q: A baseball player has a batting average of 0.19. What is the probability that he has exactly 7 hits…

A: Formula : Binomial distribution is given by

Q: On average, commercial on HULU last 2.5 minutes. What is the probability that Julio will wait…

A:

Q: A high school baseball player has a 0.245 batting average. In one game, he gets 5 at-bats. What is…

A: The probability mass function of Binomial distribution is,  P(X= x) = nCx (p)x (1-p) n-x ; x=…

Q: The probability of a student who wants to become a pilot to pass the written exam for private pilot…

A: We have to find given probability.

Q: St. Louis Cardinals are scoring at the rate of 4 runs per game. For this coming weekend's game, find…

A: Given: λ=4 a) The probability that they will score exactly 2 runs is obtained using Poisson…

Q: A couple is planning to have 6 children. If the true probability of a baby girl being born is 0.521,…

A:

Q: Find the probability that exactly 7 out of 10 adults are active on social media considering a…

A: Given that  Probability of failure = 50% = 0.50 = P (1-P) = 1-0.50 = 0.50  = P(Success) Sample size…

Q: • The probability that a patient recovers from a delicate heart operation is 0.7. Of the next 120…

A: Given, n=120 p=0.7 Now, Since n×p=120×0.7=84>10n×1-p=120×1-0.7=36>10 Therefore, this satisfies…

Q: The probability that a patient recovers from a delicate heart operation is 0.9. What is the…

A: This is a problem related to probability. Please follow the procedure given below.

Q: A high school baseball player has a 0.158 batting average. In one game, he gets 9 at bats. What…

A:

Q: There is an average of 4 accidents in a week on a major highway in the city. What is the the…

A: Given that Population Mean (\lambda)(λ)  = 4  here we will use Poisson distribution with parameter λ…

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

A: Given,       Sample size n=15          P=1-0.4=0.6      X~Binomial n=15, P=0.6      PX=x=nCx…

Q: A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 2 that have…

A: Consider inoculation of mouse trial .  Let's consider it as success if a mouse contracts the disease…

Q: A supermarket is selling different types of soft drinks (Cola, 7up, fanta, Sprit, Fayrouz). If you…

A: Given : Number of cans = 60

Q: A copy machine randomly puts out 10 blank sheets per 500 copies processed. Find the probability that…

A:

Q: The probability that a patient recovers from a delicate heart operation is 0.9. What is the…

A: Let us denote X=the number of patients having the operation surviven=sample size=7p=probability of…

Q: A baseball player has a batting average of 0.325. What is the probability that he has exactly 6 hits…

A:

Q: The probability that a random smoker will develop a severe lung condition in his or her lifetime is…

A:

Q: A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 2 that have…

A:

Q: On New Year's Eve, the probability of a person driving while intoxicated or having an accident is…

A: Given information:Denote the event “person driving while intoxicated” as A.The probability that a…

Q: The probability that Brenda, who cycles to work every day, will arrive late is 0.15. What is the…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: A basketball player makes a successful free throw 51% of the time. If they free throw 9 times, what…

A:

Q: A large machine produces an average of 1.3 defects per box of floor tile. What is the probability…

A: Probability of defects is the statistical chance that a product or process will not meet performance…

Q: A high school baseball player has a 0.26 batting average. In one game, he gets 7 at bats. What is…

A: p = 0.26 n = 7

Q: A high school baseball player has a 0.221 batting average. In one game, he gets 8 at bats. What is…

A: Consider that X is random variable defined as player hit the balls.Provided information…

Q: A high school baseball player gets a hit 3 out of 10 times that he is at bat. In one game, he gets 5…

A: Let X denote the number of hits in 5 at bats and it follows binomial distribution  with parameters…

Q: It is known that an average of 5 trains pass through Grand Central Terminal every 30 minutes. Find…

A: Consider the random variable X that reprsent number of trains that will pass through Grand Central…

Q: If the probability of hitting a goal ball player is 0.4, then if this player wants to hit the goal…

A: Probability of hitting a goal is  p=0.4 Probability of not hitting a goal is  q=1-0.4= 0.6

Q: A high school baseball player has a 0.203 batting average. In one game, he gets 6 at bats. What is…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: If the probability of seeing a ship from the beach in 1 hour is 0.35, what is the probability of…

A: Given that ,The probability of seeing a ship from a beach in hour is 0.35 .

Q: A scientist inoculates mice, one at a time, with a disease germ until he finds 2 that have…

A: Let random variable X represents the number of mice to be inoculated to get mice contacting the…

Q: A large bus company experience bus breakdowns at the rate of 2.5 per day. Find the probability that…

A: Given :  A large bus company experience bus breakdowns at the rate of 2.5 per day Let "p" be the…

Q: A baseball player has a batting average of .211 (in other words, he gets a hit 21.1 % of the time…

A:

Q: On average there are 3 leaks for every 100 miles of a pipeline. What is the probability that a…

A: Givenon average there are 3 leaks for every 100 miles of a pipelineλ=32=1.5  leaks per 50-mile…

Q: The probability of a person selling by phone to sell for each call is independent of each other and…

A:

Q: The mosquitos are out in your back yard, and they bite you at random times. Each bite happens…

A: We have to find given probability.

Q: If Omar can hit the target 4 times in 5 shots, suppose he fires 4 shots to the target, then the…

A: P(hit) = 4/5 P(miss) = 1/5 = p n = 4 shots Distribution : Binomial Random variable = X = no. of…

Q: An archer is able to hit the bull's-eye 57% of the time. If she shoots 6 arrows, what is the…

A: Given that ,                  n=6                  p=0.57                  q=1-0.57=0.43Let X be…