Chapter 5: Problem Set 10 Calenlate the following binomial probabilities by either using one of the...
Lie Detector: Suppose a lie detector allows 30% of all lies to go undetected. (a) If you take the test and tell 10 lies, what is the probability of having 7 or more go undetected? Round your answer to 3 decimal places. (b) Would 7 undetected lies be an unusually high number* of undetected lies? Use the criteria that a number (x) is unusually large if P(x or more) ≤ 0.05. Yes, that is an unusually high number of undetected...
The Los Angeles Times (Dec. 13, 1992) reported that 75% of airline passengers prefer to sleep on long flights than watch movies, read, etc. Consider randomly selecting 25 passengers from a particularly long flight and you are willing to consider this as a random sample of the population of all passengers on long flights. (1) What is the probability that exactly 18 passengers slept on the flight? (Show what you typed into the calculator, define n, p, and r, and...
Calculate the following binomial probabilities by either using one of the binomial probability tables, software, or a calculator using the formula below. Round your answers to 3 decimal places. A.) P(x | n, p) = n! / (n − x)! x! · p^x · q^n − x where q = 1 − p P(x < 7, n = 8, p = 0.9)= B.) P(x | n, p) = n! / (n − x)! x! · p^x · q^n − x...
Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have tickets. Define the random variable Y as the number of ticketed passengers who actually show up for the flight. The probability mass function of Y appears in the accompanying table. y4546474849505152535455p(y)0.050.100.120.140.240.180.060.050.030.020.01(a) What is the probability that the filight will accommodate all ticketed passengers who show up? (b) What is the probability that not all ticketed passengers who show up can be accommodated? (c) If you are the...
Calculate the following binomial probability by either using one of the binomial probability tables, software, or a calculator using the formula below. Round your answer to 3 decimal places. P(x | n, p ) = n! (n − x)! x! · px · qn − x where q = 1 − p P(x < 4, n = 10, p = 0.4) = If you can please explain to me how to do this besides just the answer?
Calculate the following binomial probability by either using one of the binomial probability tables, software, or a calculator using the formula below. Round your answer to 3 decimal places. P(x | n, p) = n! (n − x)! x! · px · qn − x where q = 1 − p P(x = 10, n = 12, p = 0.75) =
Calculate the following binomial probability by either using one of the binomial probability tables, software, or a calculator using the formula below. Round your answer to 3 decimal places. P(x | n, p) = n! (n − x)! x! · px · qn − x where q = 1 − p P(x > 10, n = 15, p = 0.8) =
a.) Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have tickets. Define the random variable X as the number of ticketed passengers who actually show up for the flight. The probability function of X is in the accompanying table. ?? 45 46 47 48 49 50 51 52 53 54 55 ?(? = ??) .05 .10 .12 .14 .25 .17 .06 .05 .03 .02 .01 1.) What is the probability that the flight will...
Consider a binomial distribution with n = 10 trials and the probability of success on a single trial p = 0.75. (a) Is the distribution skewed left, skewed right, or symmetric? (b) Compute the expected number of successes in 10 trials. (c) Given the high probability of success p on a single trial, would you expect P(r ≤ 2) to be very high or very low? Explain. (d) Given the high probability of success p on a single trial, would...
B3 A dimensionless variable is measured to be A = 3.05 t 0.05. A second variable is related to A by Z = 3 In(A + A2) (a) Derive the analytical expression for the uncertainty of Z as a function of A and its standard error aA (b) Calculate the final result for the mean value of Z and its uncertainty B4 The binomial distribution function can be written in the form N! P(r) r!{(N -r)} P" (1 - p)-r...