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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In the table below x denotes the X-Tract Company’s projected annual profit (in $1,000). The table also shows the probability of earning that profit. The negative value indicates a loss. x f(x) x = profit -100 0.01 f(x) = probability -200 0.04 0 100 0.26 200 0.54 300 0.05 400 0.02 12 If we add $45 to each value in the profit/loss column above, the new variance of profit will be, a 12,169 b 11,741 c 11,696 d 11,467
A random variable X has the following probability distribution. Solve for the value of k and final answer in two decimal.
please help
X P(x) =C p*q"-x %3D When processing credit-card applications there is a 40% chance that an application will have incomplete or insufficient information and require research. You have 5 applications in your to-do pile and would like to leave early today. (a) Fill in the values: n = q = (b) What is the probability of exactly three applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= (c) What is the expected number of applications that will need research? Answer= (d) What is the probability of having AT LEAST the expected number of applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= Please answer all parts of the question.
In the transmission of digital information, the probability that a bit has high, moderate, and low distortion is 0.01, 0.04, and 0.95, respectively. Suppose that three bits are transmitted and that the amount of distortion of each bit is assumed to be independent. Let X and Y denote the number of bits with high and moderate distortion out of the three, respectively. Determine: (c) E(X)= i Round your answer to two decimal places (e.g. 98.76).
Which of the following decreases the chances a person should purchase life insurance? O No dependents O Large savings O Low debt All of these O Paid off mortgage
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
The 2010 U.S. Census found the chance of a household being a certain size. The data is in the pmf below ("Households by age," 2013). Let X be the number (size) in a household. E(X) = k·P(X = k) 7 (or more) P(X=k) 0.267 0.336 0.158 0.137 0.063 0.024 0.015 k 1 2 3 5 6 a) The probability of a household size being more than 5, P(X > 5) = % b) In the long run, we are expected to see a household size of, E(X)= on average. Round answer to three decimal places. c) The probability that the size of a household is equal to two is %. d) The probability of a household size being three OR six is %.
T10
Calculate the relative frequency P(E) using the given information. Six hundred adults are polled, and 480 of them support universal health-care coverage. E is the event that an adult supports universal health-care coverage. HINT [See Example 1.] P(E) = =
Help solving a and b.

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