Seventy percent of all vehicles examined at a certain emissions inspection station pass the inspection. Assuming that successivevehicles pass or fail independently of one another, calculate the following probabilities. (Enter your answers to three decimal places.)(a) P(all of the next three vehicles inspected pass)0.512X(b) P(at least one of the next three inspected fails)0.063x

Probability is the measure of likelihood of an event. It takes the positive value and it can't take…

Answered: Seventy percent of all vehicles…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Use the following probabilities to answer the question. Round to 4 decimal places.P(A)=0.42P(A)=0.42, P(B)=0.53P(B)=0.53, P(AandB)=0.05P(AandB)=0.05.P(B∣A)=
d E 80 F3 Page < 2 of 2 2. Although the Occupational Safety and Health Act (OSHA) is not very popular with management because it is expensive to implement, some sources claim that it has been effective in reducing industrial accidents. The following data were collected on lost-time accidents both before and after OSHA came into effect (the figures given are mean man-hours lost per month over a one year period) at six different industrial plants: Plant 1 2 3 4 5 6 38 64 42 70 58 30 Before OSHA After OSHA 31 58 43 65 52 29 Difference (B-A) a. A test is to be performed to see if OSHA has been effective in reducing the industrial accidents. Differences are calculated as "Before - After". Enter those differences in the table. b. What was the average reduction in man-hours lost per month in the sample? c. The population of differences has a normal distribution. The sample standard deviation equals 3.225 hours. Test the claim that OSHA has been effective in reducing the average number of…
The lifetime of a lightbulb can be modeled with an exponential random variable with an expected lifetime of 1000 days. a. Find the probability that the lightbulb will function for more than 2000 days. b. Find the probability that the lightbulb will function for more than 2000 days, given that it is still functional after 500 days.
ony runs a cell phone kiosk in the mall and has 244 potential customers each day. He has a 7 % chance to make a sale to each customer. Use continuity correction to normally approximate the following probabilities.Round to 4 decimal places.a. The probability that he makes AT LEAST 18 sales b. The probability that he makes AT MOST 16 sales
1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.
Find the following probabilities. You MUST draw, label, and shade a curve for each one. Use the table to complete each probability and state the probability to be unusual if it is less than 0.05 or 5%. A. The area to the left of z = -0.97 and to the right of z = 0.97. B. P(-1.76 < z < 0.34)
Use the following probabilities to answer the question. Round to 4 decimal places.P(A)=0.54P(A)=0.54 , P(B)=0.41P(B)=0.41 , P(AandB)=0.05P(AandB)=0.05 .P(B∣A)=
solve a and b fast
1.3 In a recent survey, 10,000 households were randomly selected. One of the questions on the survey asked how many TVs they had. The results are given in the table below. Number of TVs to number of households # of TVs # of Households P(X=x) 0 160 1 3140 2 3790 3 1920 4 780 5 210 Total 10,000 e) What is the average number of TVs in a household?
KOW 1 2 3 4 5 6 Decade Count 1851 1860 1861 1870 1871 1880 1881-1890 1891 - 1900 1901-1910 NO 6 1 7 5 00 8 4 1911-1920 8 1921-1930 5 LO 9 1931 1940 00 8 10 1941 - 1950 10 11 1951-1960 12 1961-1970 13 1971-1980 14 1981 1990. 4 15 1991-2000 16 2001 - 2010 9 17 2011-2020 саоттоа со 6 6 18 19 20 21 22 61° L var3 var4

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