F(X)1.00.80.60.40.20.0-13567Use the graph to calculate the probabilities of the events given below.(a) (at most three lines are in use}(b) (fewer than three lines are in use)(c) (at least three lines are in use)(d) (between two and five lines, inclusive, are in use}F(x)1.00.8O0.60.40.20.01 234 A mail-order computer business has six telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the accompanying table.0 1 2 3 4 5 60.12 0.15 0.20 0.23 0.20 0.00 0.02Calculate the cdf F(x).XF(x)Graph the cdf F(x).F(X)1.00.80.60.40.2XD(X)0.0O1023415 627F(x)1.040.80.60.40.20.0O156 76X

Given probability distribution : First we have to calculate cdf : Calculate cumulative…

Answered: F(X) 1.0 0.8 0.6 0.4 0.2 0.0 - 1 3 567…

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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It doesn’t show the last parts (e) P(N or M) Are the events N= no reaction and M= mild reaction mutually exclusive? Explain. Yes. P(N and M) = 0. Yes P(N or M) = 0. No. P(N or M) ≠ 0. No. P(N or M) ≠ 0. (f) Are the events N = no reaction and W= washing oil off within 5 minutes independent? Explain. Yes P(N and W) = P(N) • P(W). No. P(N and W) ≠ P(N) • P(W). Yes. P(N and W) ≠ P(N) • P(W). No. P(N and W) = P(N) • P(W).
E and F are mutually exclusive events. P (E) = 0.91; P(F) =0.42 . Find P (E| F )
Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table. Probabilities of Girls x(girls) P(x) x(girls)| P(x) |x(girls)| P(x) 0.000 0.122 10 0.061 1 0.001 0.183 11 0.022 2 0.006 7 0.210 12 0.006 3 0.022 8 0.183 13 0.001 4 0.061 9 0.122 14 0.000 Find the probability of selecting 12 or more girls. 0.001 O 0.022 0.006 O 0.007
The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.9. (a) What is the probability that he must stop at both signals? X (b) What is the probability that he must stop at the first signal but not at the second one? X (c) What is the probability that he must stop at exactly one signal?
A restaurant owner wanted to know which time range are popular among the customers. Data were collected on the following events: L = a customer usually visits the restaurant during lunch time D = a customer usually visits the restaurant during dinner time Data collected suggest the following: P( L ) = 0.6 P( D ) = 0.7 P( L and D) = 0.3 What is the possibility that a customer only visit the restaurant during dinner time
The graph of the discrete probability to the right represents the number of live births by a mother 49 to 53 years old who had a live birth in 2015. Complete parts (a) through (d) below. 0 1 (a) What is the probability that a randomly selected 49- to 53-year-old mother who had a live birth in 2015 has had her fourth live birth in that year? (Type an integer or a decimal.) (b) What is the probability that a randomly selected 49- to 53-year-old mother who had a live birth in 2015 has had her fourth or fifth live birth in that year? (Type an integer or a decimal.) (c) What is the probability that a randomly selected 49- to 53-year-old mother who had a live birth in 2015 has had her sixth or more live birth in that year? (Type an integer or a decimal.) Statcrunch no JL @ 1 # с $ % JI JU & 0.30 0.25 0.20 0.15 0.10 0.05- 0.00 U 165 0.112 0.094 Number of Live Births 7 R # 8 A G
q15A -
Find the indicated probabilities: a. P(5sxs7); µ=6; o=2 ANS: b. P(10sxs16); µ=15; 0=4 ANS: c. P(7sxs9); H=5; o=2 ANS: d. P(1sxs2.6); µ=1.5; 0=0.4 ANS:
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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