For X ∼Bin(625, 9/25 ), approximate the probability P (X ≥ 249)
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For X ∼Bin(625, 9/25 ), approximate the
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- At a bank, there is a line of 3 people and only one cashier that serves one person at a time. The time that the cashier takes to serve each person has an exponential distribution with a mean of 5 minutes. Calculate the probability that the total time of serving the 3 people is less than 15 minutes. Assume that the serving times are independent.If the probability P (a < x < b ) = 0.0395 for the function Y = 3 X 2 and a = 0.15, find the value of b. 0.54 0.35Suppose a coin with Pr[H] = 2/3 is flipped 3 times. Using a tree, find the probability that heads was flipped two of the three times.
- find the gemetric mean of 2 and 20A recent survey of 1040 U.S. adults selected at random showed that 634 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.Step 1Recall that the probability of an event based on relative frequency uses the formulaprobability of event = relative frequency = fn,where f is the frequency of the event occurrence in a sample of n observations. A total of 1040 people were surveyed and 634 considered the occupation of firefighter to have very great prestige. Therefore, the sample size is n = . The event of interest is that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige. Therefore, the frequency f is equal to the number of adults who the occupation of firefighter has very great prestige, so f = (0.6096 answer is incorrect.) .Use calculator to find the probability indicated (keeping 4 decimals): a)P(Z<-1.17) b)P(Z<-0.05) c)P(Z>-2.43)
- The number of work accidents that occur per week in a mine follows Poisson's law so that the probability of 2 accidents occurring is equal to 3/2 of the probability of an accident occurring. Calculate the probability that the time for the first accident to occur is one week.The cumulative probability for the entire binomial distribution does not have to sum to 1. True or False.A certain disease has an incidence rate of 0.2%. The false negative rate is 8%, and the false positive rate is 3%. Calculate the probability that a person who tests positive actually has the disease. 0.0848 Note: The incidence rate is the probability that a random person gets the disease. The false negative rate is the probability of getting a negative result given that the person has the disease. The false positive rate is the probability of getting a positive result given that the person does not have the disease.
- how do I find the probability that a bottle would be filled less than 495 milliliters?Let ? be the amount of time (in minutes) a postal clerk spends with his or hercustomer. The time is known to have an exponential distribution with the average amount of timeequal to four minutes.i) Find the probability that a clerk spends four to five minutes with a randomly selected customer.ii) Find the probability that a clerk spends at least five minutes with a randomly selected customer.The probability that an event will happen isP(E)=0.22.Find the probability that the event will not happen.
