The joint probability distribution of the number X of cars and the number Y of buses per signal cycle at a proposed left-turn lane is displayed in the accompanying joint probability table.p(x, у)120.0150.0100.02510.0300.0200.05020.0750.0500.12530.0900.0600.15040.0600.0400.1000.0300.0200.050(a) What is the probability that thereexactly one car and exactly one bus during a cycle?(b) What is the probability that there is at most one car and at most one bus during a cycle?(c) What is the probability that there is exactly one car during a cycle? Exactly one bus?P(exactly one car)P(exactly one bus) =(d) Suppose the left-turn lane is to have a capacity of five cars and one bus is equivalent to three cars. What is the probability of an overflow during a cycle?(e) Are X and Y independent rv's? Explain.Yes, because p(x, y) = Px(x) · Py(y).Yes, because p(x, y) ± Px(x) · py(y).No, because p(x, y) = Px(x) · Py(Y).No, because p(x, y) # Px(x) · Py(y).

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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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p(0 < z < 1.30)= p(0 < z < 1.83)= p(1.30 < z < 1.83)=
Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Find the mean and standard deviation for the number of girls in 8 births. Click the icon to view the data table. The mean is µ = girl(s). (Round to one decimal place as needed.)
A biology class performs an experiment com- paring the quantity of food consumed by a certain kind of moth with the quantity sup- plied. 0.30, P 0.25 0.20 0.15 0.10 0.05 0.25 0.50 0.75 1.0 1.25 Food supplied (in mg) The model for their experimental data is given by 1.568x 0.001 0 < x 1+6.360x where x is the quantity (in milligrams) of food supplied and y is the quantity (in milligrams) eaten. At what level of consumption will the moth become satiated? Answer in units of mg. Food eaten (in mg)
b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic b-2. Fine the p-value? O p-value e to search
Determine the value of z* that satisfies the conditions below. (Round your answers to two decimal places.) USE SALT (a) separates the largest 3.2% of all z values from the others z* = (b) separates the largest 1.1% of all z values from the others z* = (c) separates the smallest 6.3% of all z values from the others z* = (d) separates the smallest 12.1% of all z values from the others z* =
p(x<=1) n=6 p=0.6
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Ascientist investigated the effect of cross-fertilization on the heights of plants. In one study, the scientist planted 15 pairs of a species of plant. Each pair consisted of one cross-fertilized plant and one self-fertilized plant grown in the same pot. The accompanying table gives the height differences, in eighths of an inch, for the 15 pairs. Each difference is obtained by subtracting the height of the self-fertilized plant from that of the cross-fertilized plant. Complete parts (a) through (e) below. Click here to view the data. Click here to viewa table of critical values of t. a. Identify the variable under consideration. What is the variable? V Height b. Identify the two populations What are the populations? A. The self-fertilized plants and the cross-fertilized plants c. Identify the paired-difference variable What is the paired-difference variable? O C. Height of the cross-fertilized plant – height of the self-fertilized plant d. Are the numbers in the table paired…
Find the standard deviation. (Enter an exact number as an integer, fraction, or decimal.) x P(x) x*P(x) (x − ?)2P(x) 2 0.1 2(0.1) = 0.2 (2 − 5.4)2(0.1) = 1.156 4 0.3 4(0.3) = 1.2 (4 − 5.4)2(0.3) = 0.588 6 0.4 6(0.4) = 2.4 (6 − 5.4)2(0.4) = 0.144 8 0.2 8(0.2) = 1.6 (8 − 5.4)2(0.2) = 1.352
10. A professor wants to see how much students learn over the course of a semester. A pre-test is given before the class begins to see what students know ahead of time, and the same test is given at the end of the semester to see what students know at the end. The data are below. Test for an improvement at the α = 0.05 level. Did scores increase? How much did scores increase? charts attached:
Find the standard deviation. Р(x) | x*Р(x) (x - 4)°P(x) 2 0.1 2(0.1) = 0.2 4 0.3 4(0.3) = 1.2 6 0.4 6(0.4) = 2.4 8 0.2 8(0.2) = 1.6 00
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. E Click the icon to view the table. a. Find the probability of getting exactly 1 girl in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 1 or fewer girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 1 is a significan Question Viewer girls in 8 births: the result from part (a) or part (b)? O A. Since getting 0 girls is an even lower number of girls than getting 1 girl, the result from part (b) is the relevant probability. O B. Since the probability of getting 1 girl is the result from part (a), this is the relevant probability. OC. Since the probability of getting more than 1 girl is the complement of the result from part (b), this i the relevant probability. O D. Since…

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y p(x, y) 2 0.015 0.010 0.025 0.030 0.020 0.050 2 0.075 0.050 0.125 0.090 0.060 0.150 4 0.060 0.040 0.100 0.030 0.020 0.050 1. 3.