The mean time (in hours) required to repair a machine is 1/2. Find The probability that a repair time exceeds 3 hours. The conditional probability that a repair takes less than 12 hours, given that its duration exceeds 7 hours.

Q: The distribution of birth weights (in g) for babies is approximately ?(2750, 560). What is the…

A: We have given that,  If babies birth weights follows normal distribution, with mean( Mu) =2750 and…

Q: The mean number of cars confiscated by a wrecker is five per day.  Using the Poisson distribution,…

A: Given dataλ=5

Q: The table summarizes results from pedestrian deaths that were caused by automobile accidents.   If…

A: From the given information,   Pedestrian Intoxicated     Driver Intoxicated? Yes  No Total…

Q: Suppose a life insurance company sells a $270,000 one-year term life insurance policy to a…

A: Formula for expected value :  Expected value= ∑xP(x)

Q: (a) the probability that a repair time exceeds 3 hours? (b) the conditional probability that a…

A:

Q: The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between 0…

A: Solution: The amount of time, in minutes, that a person must wait for a bus is uniformly distributed…

Q: The number of people arriving for treatment at an emergency room can be modelled by a Poisson proces…

A: It was stated that the number of people arriving for treatment at an emergency room can be modelled…

Q: The probability that a man hits a target is p = 1/5. He fires 100 times. What is the expected number…

A: Given: p=15n=100 The expected number of times he will hit the target is obtained as below: Here…

Q: For a sales promotion, the manufacturer places winning symbols under the caps of 29% of all its soda…

A:

Q: Suppose a life insurance company sells a ​$280,000 ​one-year term life insurance policy to a…

A: The probability that the female not survives is, PNot survives=1-Psurvives=1-0.999606=0.000394 The…

Q: The amount of time you have to wait at a dentist office before you called in is uniformly…

A: Let X be a random variable repressing amount of time you have to wait at a dentist office before you…

Q: Find the probability function and commulative distribution function for number of heads that appear…

A:

Q: the probability that 50 randomly selected light cigarettes from this company will have a total…

A:

Q: A telephone exchange receives, on average, 5 calls per minute. Find the probability (i) that in a…

A: Given: On average 5 calls per minute, X ~ Poisson(λ = 5) Using Poisson distribution: P(X=x)=e-λ×λxx!

Q: a) The probability that brand A bulbs will have a mean lifetime that is at least 160 hours. b) The…

A:

Q: The bags of salt packed by a machine have μ=500 g and σ= 35 g, a sample of 100 packages is taken,…

A: In question, Given that The bags of salt packed by a machine have μ=500 g and σ= 35 g, a sample of…

Q: The yacht engines fail with probability equal to 0.3. Assuming that a yacht makes a safe trip if at…

A:

Q: The probability of flu symptoms for a person not receiving any treatment is 0.023. In a clincal…

A: It is given that n =914 and p = 0.023.

Q: A remote-controlled undersea vehicle detects debris from a sunken craft at a rate of 40 pieces per…

A:

Q: The mean number of customers arriving at a restaurant during a 15-minute period is 8. Find the…

A: The question is about prob. dist Mean no. of customers arriving at a restaurant ( λ ) = 8

Q: A parking enforcement officer has a quota of 5 citations to issue by the end of the shift. Assume…

A: Number of citation to be issued at end is 5. The probability of given car has a violation is…

Q: The mean number of technical failure in ABC Solutions is 10 per batch. Find the probability that in…

A:

Q: Use the data to compute the probability that a motorcyclist wears a DOT-compliant helmet.

A: It is given that Number of motorcyclist wears a DOT-compliant helmet = 350 Total motorcyclist = 350…

Q: Find the Z score for the probability 0.2061. Ans: 0.2061

A:

Q: a newspaper seller orders 10,000 unites of newspaper for his inventory.suppose demand for th…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: The data on traffic accidents indicates that the average rate of accidents is three per week.   a)…

A:

Q: Assume that the incidence of the HIV virus in a particuar population is 4% and that the test…

A: Let us denote  A= actually has the virus T=tested positive Given that P(A)=4%=0.04 P(T|A)=90%=0.90…

Q: A certain disease has an incidence rate of 0.9%. If the false negative rate is 6% and the false…

A: For two non-null events A and B, using Bayes’ theorem it can be said that, P(A|B) =…

Q: Suppose a life insurance company sells a $120,000 one-year term life insurance policy to a…

A: Given P=0.999356 q=1-p     =1-0.999356     =0.000644

Q: Find the probability that a telephone call selected at random will last a. between 1 minute and 2…

A:

Q: Suppose that the average number of accidents occurring weekly on a par- ticular stretch of a highway…

A:

Q: The mean number of customers arriving at a bank during a 15-minute period is 10. Find the…

A: Suppose random variable X defines the number of customers arriving at a bank during a 15-minute…

Q: In a certain industrial facility, accidents occur infrequently. It is known that the probability of…

A:

Q: equals the probability of at most hits during an interval for which A is the expected value of the…

A: Let ,  The probability mass function of X is   Our aim is to fill the blank.

Q: Suppose a life insurance company sells a $260,000 one-year term life insurance policy to a…

A: Given data: The amount which is required to purchase the policy = $200. The probability that the…

Q: The time it takes me to wash the dishes is uniformlydistributed between 6 minutes and 16…

A:

Q: The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between…

A: Given the time a person must wait for a bus is uniformly distributed between 12 and 54 minutes.

Q: For a continuous probability distribution, 0 15)? (List your answer in numeric form)

A: Given distribution range  0<=X<=15  We want to find the probability P(X>15)= ?

Q: Suppose a life insurance company sells a $220,000 one-year term life insurance policy to a…

A: Cost incurred by company  if died = -220000+260 = -219740  Cost received by company if not died= 260…

Q: (b) Find the probability that the number of people who say auto racing is their favorite sport is…

A: Let X be the people who say auto racing is their favourite sport. Given: n=600 and p=0.06 X ~ B…

Q: When the value of A is increased, the probability of committing type I error is None of the above…

A: Type I error is the probability of rejecting the null hypothesis when it is correct. It is denoted…

Q: The time it takes to complete an online survey is uniformly distributed over the range of 10.1…

A: The probability density function of uniform distribution can be written as:

Q: The probability of an adult in Australia having hazel colored eyes is 20%. If a simp random sample…

A: Given information: The probability of an adult in Australia having hazel colored eye is 20%. The…

Q: If X denotes the sum of the numbers obtained when 2 dice are thrown, obtain an upper bound for P{\X…

A:

Q: A certain disease has an incidence rate of 0.3%. If the false negative rate is 6% and the false…

A:

Q: Suppose that the probability that your mail is delivered before 2 pm is .90. What is the probability…

A: We have given that the probability that mail is delivered before 2 pm is 0.90.

Q: For a continuous probability distribution, 0 15)?

A:

Q: Suppose a life insurance company sells a $280,000 one-year term life insurance policy to a…

A:

Q: 3. The probability that Vittorio waited less than 5 minutes, given he is not at the bus stop after…

A: Given that, Ugo and Vittorio arrive at the bus stop and wait for two different buses. U and V be the…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.