23. A small press publishes an unpredictable number X of new books each month with(4+69)(3+7q))probability generating function πx(q) = E(q) =100a) Each book they publish in a given month has an 80% chance of reaching a best-seller list.What is the probability that next month all the books they publish will reach the best-seller list?(Hint: remember the post-test interpretation of π?)b) Calculate the expected value and variance of the number of books they will publish nextmonth.

The probability-generating function isprobability of chance reaching a best-seller list is 80%

Answered: 23. A small press publishes an…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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•Suppose xau (-54,60) and F(t) is the Cumulative distribution function. which is the probability that x is in the interval E-51.-21] and in the interval [36,57] A. F(57)-F(51) B.(F(-21)- F($1)) +(F(57)-F(-36)) C. (F (-21)-F(-51) × (F(57)-F(-36)) D. F(-21) - F(-36) (6)
6. If X~P.(1.8), find the following probabilities. a) PCX=1) b) P(X22) c)PCX<1)
suppose that on each day the stock's price either moves up by $1 with probability 0.6 and down by -$1 with probablity 0.4.the changes on different days are assumed to be independent. What is the probability that the stock prices will move up at least once out of the next three consecutive days 0.7840.9360.8560.904
Q1) 14% of the adults in a certain population are infected by a Corona Virus. Five adults are selected randomly from this population for diagnoses. Find the probability that at least two of them will be infected by .this Virus 1 .Q2) Suppose that f(X)=X,12). a) Find .b) Find the mean Q3) A study shows that the systolic blood pressures for adults in a certain population are approximately normally distributed with mean of 115 and .standard deviation of 10 a) Find the probability that a randomly selected person will have a blood -pressure between 109 and 124 Sel).b) Find the reading that is exceeded by only 5% of the population التي يتجاوزها 5% من المجتمع(
In the mid-afternoon a restaurant receives orders such that the time between them follows an exponential distribution. The mean time between orders is 11 minutes. a) What is the probability that the restaurant receives no orders in a 30-minute interval? b) What is the probability that the restaurant receives at least one other order within 1 min of the first one?
3) A light fixture contains five lightbulbs. The lifetime of each bulb is exponentially distributed with mean 200 hours. Whenever a bulb burns out, it is replaced. Let T be the time of the first bulb replacement. Let Xi, i = 1, . . . , 5, be the lifetimes of the five bulbs. Assume the lifetimes of the bulbs are independent.
The probability that a certain type of light bulb will last 650 hours or more is .75. The probability that the light bulb will last 800 hours or more is .30. Suppose that the bulb is 650 hours old and is still working, what is the probability that the bulb will last at least 800 hours?
77. A system consists of five identical components connected in series as shown: 1 3 4 5 As soon as one component fails, the entire system will fail. Suppose each component has a lifetime that is exponentially distributed with 2 = .01 and that components fail independently of one another. Define events A; : at least t hours }, i = 1, ... , 5, so that the A;'s are independent events. Let X = the time at which the system fails- that is, the shortest (minimum) lifetime among the five components. a. The event {X > t} is equivalent to what event involving A1, ..., As? b. Using the independence of the five A;'s, com- pute P(X > t). Then obtain F(t) = P(X < 1) and the pdf of X. What type of distribution {ith component lasts does X have? c. Suppose there are n components, each having exponential lifetime with parameter å. What type of distribution does X have?
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Customers arrive at Rich Dunn's Styling Shop at a rate of 2 per hour, distributed in a Poisson fashion Service times follow a negative exponential distribution, and Rich can perform an average of 6 haircuts per hour. a) The average number of customers waiting for haircuts=17) customers (round your response to two decimal places) b) The average number of customers in the shop customers (round your response to two decimal places) c) The average time a customer waits until it is his or her tumminutes (round your response to two decimal places).
Please solv within 30min (a) 0.1008 0.0010 0.8008 0.3193 (b) 0.1008 0.0010 0.8008 0.3193
Let A be the event that a flight from New York to San Fransisco arrives on time and let B be the event that it is a clear day in San Fransisco. Suppose that the probability of a clear day is P(B)=0.6.and the probability a plane arrives on time is P(A)=0.7. We also know that the probability a plane arrives on time on a cloudy day is P(A|B^C)=0.5, The events A and B are? Dependent Events Independent Events Disjoint Events All of the Above

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