For a given electronic component, it has been shown that it is necessary to restart once every 250 hours. Let X be the number restarts within 1000 hours. (f) Given that the electronic component has been operating continuously for 200 hours, what is the probability that it will operate for another 400 hours?

Q: A university knows from historical data that 25% of students in an introductory statistics class…

A: From the provided information, A university knows from historical data that 25% of students in an…

Q: A factory received a shipment of 36 capacitors, and the vendor who sold the items knows there are 5…

A:

Q: A screening test for a disease shows a positive test result in 95% of all cases when the disease is…

A: When the disease is actually present, a screening test for a disease shows a positive test result in…

Q: The manufacture of a fertilizer guarantees that , with the aid of the fertilizer, 80% of the planted…

A: We have to find given probability..

Q: A type of tomato seed has a germination rate of 91%. A random sample of 160 of these tomato seeds is…

A: It is given that n =160 and p =0.91.

Q: A factory received a shipment of 9 flanges, and the vendor who sold the items knows there are 2…

A: According to the provided information, there are 9 flanges and 2 flanges in the shipment that are…

Q: In a certain city district, the need for money to buy drugs is stated as the reason for 76% of all…

A: Given data: p = 76 % = 0.76 n = 5

Q: With continuous random variables, we never calculate the probability that X has a particular…

A: The continuous random variable takes any values within two admissible values and the probability…

Q: walks to the top of a hill and then walks down again. The time he takes to walk up the hill is…

A:

Q: A certain disease has an incident rate of .1%. If the negative rate is 5% and the flase positive…

A: Given: An incident rate of 0.1% negative rate is 5% positive rate is 4%  compute the probability…

Q: The probability that an integrated circuit chip will have defective etching (E) is 0.13, the…

A: The probability that an integrated circuit have defective etching is 0.13. The probability that it…

Q: In a certain city district, the need for money to buy drugs is stated as the reason for 73% of all…

A: Given  The probability that drugs are reason for thefts=0.73. We need to determine out of given 5…

Q: According to the previous statistics, there are three types of damage to a batch of goods in the…

A: The required probability can be found using Baye's formula,

Q: Between 12:00 pm and 1:00 pm, cars arrive at Citibank’s drive-thru at the rate of 6 cars per hour…

A: Given: probability can be used to determine the probability that a car will arrive within t minutes…

Q: Suppose that the time (in hours) required to repair a machine is an exponentially distributed random…

A: The probability density function of exponential distribution is given by

Q: In an automated filling operation, when the process is run at slow speed, the probability of an…

A: Given that in an automated filling operation, when the process is run at slow speed, the probability…

Q: In a certain city district, the need for money to buy drugs is stated as the reason for 63% of all…

A: Solution-: Given: n=5,p=0.63 (Or 63%) Our aim to find, (a) P(X=2)=? (b) P(X≤3)=?

Q: Since Kristine has been a long-time loyal customer, Kristine is able to place a rush order at $30…

A:

Q: A bakery has contacted a supplier for the delivery of flour, butter and sugar to a shop site. From…

A: Suppose there are three events A,B and C and are independent then P(A and B and C)= P(A)P(B)P(C)…

Q: Find the probability that either event will happen in the previous scenario, given that it is…

A: From the information, the likelihood of getting into your first choice graduate program is 18% and…

Q: Suppose that the probability of a hurricane striking a state in any single year is 1 in 10 and that…

A: Given that the probability of a hurricane striking a state in any single year is 1 in 10.  This…

Q: he table summarizes results from 984 pedestrian deaths that were caused by automobile accidents. If…

A:

Q: A factory received a shipment of 11 capacitors, and the vendor who sold the items knows there are 3…

A: Let the R.V X denotes the number of defective capacitors in the shipment and it follows the binomial…

Q: Assuming that it is true that 2 in 10 industrial accidents are due to fatigue, find the probability…

A: Let p be the probability that a accident is due to fatigue. Given that p = 2/10 = 0.2 Let X denotes…

Q: In a certain city district, the need for money to buy drugs is stated as the reason for 36% of all…

A: It is given that n=5 and p=0.36.

Q: In a shooting game, two players shoot at a target at the same time. Suppose person A hits the target…

A:

Q: Given that 7.0% of the population of Canada have blood type O-negative, calculate the probability…

A: Given that 7.0% of the population of Canada have blood type O-negative so the probability of getting…

Q: Oliver knows that a virus is relatively virulent and estimates that 15% of the population has the…

A: Let the testing kit of Oliver accurately identifies the disease with a probability of p. Probability…

Q: A local jam production company is confident that 60% of the population will like its new grapefruit…

A:

Q: urance company sells a $250,000 one-year life insurance policy to a 20-year-old male for $350.…

A: The probability that the male survives the year is 0.998611 The probability that the male did not…

Q: A factory received a shipment of 11 capacitors, and the vendor who sold the items knows there are 3…

A: Introduction: Suppose X is the number of defective capacitors in the sample. It can be assumed that…

Q: Suppose the probability that a particular computer chip fails after a hours of operation is…

A: It is given that probability that computer chip fails after "a" hours of operation  or probability…

Q: The probabiltity that a person selected at random from a population will exhibit the classic symptom…

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: The probability that the percentage of salts in sand from a particular source does not match is 0.1,…

A:

Q: The time it takes me to wash the dishes is uniformly distributed between 6 minutes and 15 minutes.…

A:

Q: A company places a rush order for wire of two thicknesses. Consignments of each thickness are to be…

A: The probability is 0.8 that at least one of these consignments will arrive within a week. The…

Q: The probability that an atom of Fermium-253 will undergo radioactive decay within a 3-day period is…

A:

Q: (a) The probability that two randomly selected 1-year-old male chipmunks will live to be 2 years old…

A: here use binomial distribution Each trial is independent Finite number of trial There are two…

Q: suppose that two radioactive particles are in a box. the expected time for each to decay is 5 hours.…

A: The expected time for each to decay is 5 hours.

Q: A bus company is interested in the wait time of its passengers 8:00 AM and 8:00 PM. Suppose that the…

A: Given that the waiting time follows Uniform distribution with minimum wait time one minute and…

Q: The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 75%of planted…

A: Given that the manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 75%of…

Q: (a) The probability that two randomly selected 1-year-old male salamanders will live to be 2 years…

A: Given,           P(lire to be 2 years old) =0.99476a) The probability that t200 randomly selected 1…

Q: A screening test for a particular infectious disease shows a positive test result in 90% of all…

A:

Q: Over the years, a medical researcher has found that one out of every ten diabetic patients receiving…

A:

Q: In a certain city district, the need for money to buy drugs is stated as the reason for 71% of all…

A: Given : The money required to buy  drugs in a certain city district is the reason for the 71%  of…

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.