Prob-1 Probability that cars have been assembled in a particular plant as follows: P(plant1)=20%, P(plant2)=24%, P(plant3)=25%, P(plant4)=31% Warranty claim rate of cars manufactured by plant3: 6%. If 352,500 of cars do not claim warranty in plant3; compute total number of cars manufactuted by all plants in a year? Sol:

An emergency center receives an average of 4 emergency calls in 10 minute intervals. How much the probability that: (i) have at least 2 urgent calls; (ii) there are exactly 3 urgent calls in the 10 min interval?

2) The number x of people admitted to an intensive care unit in a particular hospital, on any given day, has a Poisson probability distribution with mean equal to five (5) people per day. What is the probability that the number of people admitted to an intensive care unit on a particular day is three (3)? Solve using Poisson's formula (Mendenhall et al., 2015).

Suppose the amount of time a random customer spends in a grocery store is uniformly distributed between 10 and 65 minutes. What is the probability a random customer will spend less than one hour in the grocery store?

Solve step by step in digitl format At the General Hospital Dr. Manuel Gea González, of the Ministry of Health, it is recorded that, on average, an ambulance arrives every ten minutes. Assuming an exponential distribution, determine:a) What is the probability that the next ambulance will arrive in 15 minutes or less?b) What is the probability that the next ambulance will arrive in more than 25 minutes?c) What is the probability that the next ambulance will arrive in more than 15 minutes, but less than 25?

A process yields 10% defective items. If 100 items are randomly selected from the process, what isthe probability that the number of defectives(a) exceeds 13?(b) is less than 8?

The unemployment rate in a city is 15%. If 6 people from the city are sampled at random, find the probability that fewer than 2 of them are unemployed. Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necessary, consult a list of formulas.)

Assume that when human resource managers are randomly selected, 37% say job applicants should follow up within two weeks. If 6 human resource managers are randomly selected, find the probability that exactly 4 of them say job applicants should follow up within two weeks. The probability is. (Round to four decimal places as needed.)

Find the probability that the total number of breakdowns that occur in a particular 4-week period is exactly 10, giving the answer to 4 decimal places.

The unemployment rate in a city is 15% . If 8 people from the city are sampled at random , find the probability that 1 of them is unemployed. Carry your intermediate computations to at least four decimal places , and round your answer to two decimal places.