A missile protection system consists of n radar sets operating independently, each with a probability of .9 of detecting a missile entering a zone that is covered by all of the units. (a) If n = 5 and a missile enters the zone, what is the probability that exactly four sets detect the missile? At least one set? (b) How large must n be if we require that the probability of detecting a missile that enters the zone be .999?

Q: Researchers sampled 185 young women who recently participated in a STEM program. Of the 185 STEM…

A: Given,no.of participants were in urban areas=112no.of participants were in  suburban arears=59no.of…

Q: Thirty percent of a population of consumers is reputed to prefer a particular brand, say Brand A, of…

A: If each trial has only two possible outcomes, that is, success and failure, the probabilities of…

Q: Find the probability that exactly 7 of the 10 claims are made by males under age 25.

A: Given that  n = 10 , p = 50% = 0.50 , q = 1 - 0.50 = 0.50 X ~ Binomial (n = 10 , p = 0.50) X =…

Q: A bag contains 9 red marbles, 5 white marbles, and 8 blue marbles. You draw 3 marbles out at random,…

A: As per our guidelines we are suppose to answer only one question. Given,no.of red marbles=9no.of…

Q: A factory has 5 similar machines. Atleast two have to operate to meet the production target for the…

A: Given: The total number of machines =5. The probability that the machine is down = 0.2 The…

Q: Of a population of consumers, 60 % are reputed to prefer Brand A toothpaste. If a group of randomly…

A: given data  P(prefer brand A toothpaste) = p = 0.60 P(atleast 5 people need to encounter the first…

Q: Of the 12 times a bird lands in a tree, he chooses a red maple 4 times. Find the empirical…

A: Given that of the 12 times a bird lands in a tree, he chooses a red maple 4 times. We have to find…

Q: Patients arrive at a hospital Accident and Emergency department at random at a rate of 6 per hour.…

A: given data λ = 6 per hourx = no. of patients in t houtP(x=X) = e-λt(λt)xx!

Q: Find the probability that exactly 2 of the 7 claims are made by males under age 25.

A: Given that  p = 70% = 0.70 , q = 1 - p = 1 - 0.70 = 0.30 , n = 7 X ~ Binomial (n = 7 , p = 0.70) X =…

Q: Of all bits transmitted through a digital transmission channel, 40% are received in error. Let X =…

A:

Q: The following table shows rooms offered by Hotel ABC. Twin Single Twin Executive Superior With 15 10…

A: The number of customers who will book an executive room with a bathtub is 6.The number of rooms that…

Q: Inside the box of every cereal box contains a surprise gift. The store manager assures employees…

A: To find the probability that both selected cereal boxes contain the secret decoder ring, we can use…

Q: Let Pi denote the probability of getting a disease if vaccinated, and P2 denotes the probability of…

A: Let, p1 denotes the probability of getting the disease if vaccinated.  p2 denotes the probability of…

Q: Salespersons often make repeat calls to "close" a sale. Suppose a particular salesperson has a 0.70…

A: Probability of closing on first call=0.70Probability decreases by 0.10 on each subsequent call.

Q: A brand name has a 60% recognition rate. If the owner of the brand wants to verify that rate by…

A:

Q: A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio…

A: PNTD|NTD=0.75PTD| TD=0.95

Q: Q. 2 Of 200 employees of a company, a total of 120 smoke shisha; 60% of the shisha smokers are male…

A: Using the provided information, the table is:   Smokers Non smokers Total Male 72 64 136…

Q: A hat contains 25 Red slips of paper and 29 Yellow slips of paper (and nothing else). Two slips are…

A: According to the provided information,  Red slips of paper = 25 Yellow slips of paper = 29 Total…

Q: Assume the following informaon. The height of adult women in the city of Boston can be characterized…

A: 1. Let X denote the height of a randomly selected woman from City B. It is given than X has a normal…

Q: A missile detection system has a probability of 0.90 of detecting a missile attack. If 4 detection…

A: Let X be the random variable representing the number of systems that detect an attack. And the…

Q: A coin is loaded so that the probability of heads is 0.7 and the probability of tails is 0.3.…

A: Given data: Probability of head=0.7 Probability of tail=0.3

Q: Show that the probability that a box chosen at random will contain at most two defective handphones…

A: HERE USE BINOMIAL THEOREM p = 0.03 q = 1-p = 0.97 for binomial theorem  p(x=r) = nrpr qn-r

Q: Consider the situation that we have 4 servers, each of which needs to be down for one day (a…

A: the event of choosing a maintenance day for each server independently. Since each server can choose…

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

A:

Q: f there are 19 people in a room, and 1 of them are wearing blue shirts, what is the probability that…

A:

Q: A coin is loaded so that the probability of heads is 0.7 and the probability of tails is 0.3.…

A: Given that  Probably of geeting head is 0.7 Probability of geeting tail is 0.3 Coin is tossed twice…

Q: (a) A new manufacturing facility is to be built. There are 15 possible sites. A team of engineers is…

A: a) The total number of possible sites is 15.

Q: A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio…

A:

Q: factory received a shipment of 14 flanges, and the vendor who sold the items knows there are 7…

A:

Q: Suppose that 800 students were selected at random from a student body of 20,000 and given shots to…

A: we have given that n = 800 x = 600

Q: General Grant must send orders to General Butler. Carrier pigeons are the medium of choice. A single…

A: Let there are n trials and each having two outcomes - Success and Failure. The trials are…

Q: Assume  that  20%  of the adult  population  in  a  given  province has a  college  degree, and…

A: The objective of this question is to find the probability that more than 350 people in a sample of…

Q: (a) Assume that you are a motorist entering the traffic system and receive a radio report of a…

A: To solve this problem we can use the concept of Markov chains. A markov chain is a mathematical…

Q: Suppose that a machine performs n independent number of trials in the making of bulbs. Each trial…

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

Q: Suppose that in a certain large population, the proportion of people that have blue eyes is 0.34.…

A: the formula for binomial distribution:   where P(x:n,p)  is the probability of getting  successes…

Q: A group of faculty  were asked if they have a tenured or nontenured  position. The responds are…

A: Given that contingency table Now using this table find required probability.

Q: According to a recent research, 13% of people living in a city has experienced COVID-19 related…

A: 13% of people living in a city has experienced COVID-19 , N= 100  p= 0.13 q = 1-p = 0.87 ( 87 people…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.