A production line produces 6 per cent defectives. For a random sample of 10 components, determine the probability of obtaining: (a) no defective (b) 2 defectives (c) more than 3 defectives.
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- In a club consisting of 8 males and 4 females, 5 members will be selected to represent the club in a seminar-workshop. If the random variable F represents the number of female members selected, what is P(F > 2)?17 percent of U.S. employees who are late for work blame oversleeping. You randomly select four U.S. employees who are late for work and ask them whether they blame oversleeping. The random variable represents the number of U.S. employees who are late for work and blame oversleeping. Find the mean of the binomial distribution. μ=In the airline business, "on-time" flight arrival is important for connecting flights and general customer satisfaction. Is there a difference between summer and winter average on-time flight arrivals? Let x1 be a random variable that represents percentage of on-time arrivals at major airports in the summer. Let x2 be a random variable that represents percentage of on-time arrivals at major airports in the winter. A random sample of n1 = 16 major airports showed that x1 = 74.9%, with s1 = 5.3%. A random sample of n2 = 18 major airports showed that x2 = 70.2%, with s2 = 8.6%. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. (a) Does this information indicate a difference (either way) in the population mean percentage of on-time arrivals for summer compared to winter? Use α = 0.05. (i) What is the…
- ABC Manufacturing Company had manufactured a batch that has 600 parts. 30 parts do not conform to client's requirements. If two parts are selected at random, without replacement, from the batch. Let the random variable X equal the number of nonconforming parts in the sample. Determine E(x) and V(x). Upload Choose a File2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:A private hospital gets an average of 14 hospital admissions per week in its emergency room (ER). Let x be the outcome of hospital admissions in the emergency room in a week. In order to plan for the number of beds for the future, the hospital has to model the data with an appropriate distribution. (a) what distribution would you suggest for the random variable X, and why? (b) what is the probability of getting at most two admissions in one week? (c) what is the probability of getting at most two admissions in two weeks? (d) what is the probability of getting at least one admission in 2 days, assuming its ER opens 7 days a week? (e) if the hospital closes for three days because of a very serious event, how may new patients will the ER miss for admission on average, in those three days?
- A test of 100 motor is done to determine the defective motors. The probability that a motor is defective is 0.02. The motors defects are independent random variable. The probability that exactly two motors are defective given that the number of defective motors is two or fewer is: Select one: a. 0.3127 b. 0.5846 c. 0.5364 d. 0.404 e. 0.4773Hello! I need help explaining the whole procedure, the meaning of the graphs and theorems (images) and how the final result was obtained ThanksA machine uses electrical switches that are known to have a 3% fail rate for each use. The machine uses three switches, and each switch is independent. (a) How many outcomes are there in the sample space? 8 (b) Let x = the number of failed switches in one run of the machine. How many possible values of x are there? 4 (c) What is the probability of exactly one switch failing in one run of the machine?. 0.0847 X There is more than one way for one switch to fail in one run of the machine. (d) If the probability of no switches failing is 0.912673 and the probability of all switches failing is 0.000027, then complete the probability distribution table for x. X p(x) 0.912673 0 Need Help? Read It 0.084681 1 ✓ 0.002619 2 0.000027 3
- A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot and Y is the random variables representing the total number of heads, what is the expected value of Y? calculate.Compute the test statisticThe 5 crew members of the exploration team of the spaceship Enterprise under the command of Captain Kirk are 162, 172, 177, 180 and 184 cm in height, respectively. Calculate the expected value and variance of the height of a randomly selected person among these 5 crew members. ( explaining them to someone who does not know anything about the subject)