Consider the accompanying Venn diagram, where P(E₁) = 0.09, P(E2) = 0.05, P(E3) = P(E4)=0.22, P(E5)=0.04, P(E6) = 0.28, P(E7)=0.08, and P(Eg)=0.02. Complete parts a through g.Click the icon to view the Venn diagram.a. Find P(AC).Venn DiagramP(A) = (Type an integer or a decimal. Do not round.)OE₁E30E2b. Find P(B).P(B) = (Type an integer or a decimal. Do not round.)AOEABEsc. Find P(A° nB).EE6°P(AB) = (Type an integer or a simplified fraction.)Esd. Find P(A U B).P(A U B) = (Type an integer or a decimal. Do not round.)e. Find P(A n B).P(ANB)=(Type an integer or a decimal. Do not round.)f. Find P(A°n B°).P(AB) = (Type an integer or a decimal. Do not round.)PrintDoneg. Are events A and B mutually exclusive? Why?A. Yes, because AnB contains no sample points, meaning A and B have no sample points in common.B. No, because An B contains no sample points, meaning A and B have no sample points in common.OC. No, because An B contains sample points, meaning A and B have sample points in common.D. Yes, because An B contains sample points, meaning A and B have sample points in common.S

Let's solve the problem manually step by step. Given Probabilities:P(E1) = 0.09P(E2)= 0.05P(E3) =…

Answered: Consider the accompanying Venn diagram,…

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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4 5 6 7 Joan is concerned about the amount of energy she uses to heat her home. The graph below plots the mean number of cubic feet of gas per day that Joan used each month against the average temperature for one heating season. NO 40 Temperature (degrees Fahrenheit) Does the plot show a positive or negative association between the variables? Why does this make sense. type your answer.... What is the form of the relationship? Is it strong? Explain. type your answer... Explain what the point at the bottom right represents. type your answer... b
Which of the R values below is consistent with a "perfect" correlation? a. 0.0 b. 0.5 c. -1.0 d. 0.95
A random sample of college students was surveyed about how they spend their time each week. The scatterplot below displays the relationship between the number of hours each student typically works per week at a part- or full-time job and the number of hours of television each student typically watches per week. The correlation between these variables is r = –0.63, and the equation we would use to predict hours spent watching TV based on hours spent working is as follows: Predicted hours spent watching TV = 17.21 – 0.23(hours spent working) Since we are using hours spent working to help us predict hours spent watching TV, we’d call hours spent working a(n) __________________ variable and hours spent watching TV a(n) __________________ variable. The correlation coefficient, along with what we see in the scatterplot, tells us that the relationship between the variables has a direction that is _________________ and a strength that is ______________________. According to the…
E4-45
Recently, the stock market took big swings up and down. A survey of 969 adult investors asked how often they tracked their portfolio. The table shows the investor responses. What is the probability that an adult investor tracks his or her portfolio weekly? Express your answer as a simplified fraction and as a decimal rounded to three decimal places. How frequently? Response Daily O 231 269 274 Couple times a year 143 Don't track 52 Weekly Monthly 274 969 231 969 269 969 143 969 ;0.283 ;0.238 ;0.278 ;0.148
The following chart shows the percentage of the U.S. discretionary budget allocated to education from 2003 to 2009 (t = 3 represents the start of 2003). A bar graph titled "Percentage of U.S. budget on education" has a horizontal t-axis labeled "Year since 2000" and a vertical axis labeled "Percentage". The bar graph has 7 bars. Each bar is associated with a label and an approximate value as listed below. 3: 6.8% 4: 7% 5: 7% 6: 6.9% 7: 6.5% 8: 6.3% 9: 6.2% The following table shows the percentage of the U.S. discretionary budget allocated to education in 2003, 2005, and 2009 (t = 3 represents the start of 2003). Year t 3 5 9 Percentage 6.8 7 6.2 Find a quadratic model for these three years. (Round your coefficients to two decimal places.) p(t) = Use your model to estimate the percentage of the U.S. discretionary budget allocated to education in 2007. (Round your answer to two decimal places.)
Q1. A study was conducted to investigate the relationship between premature birth and mental development at 12 months. The infant's birth weight was used as an index of prematurity. At age 12 months, the child's mental development was recorded. The results are shown below (the weights are in pounds): Birth 4 6 7 8 Weight(x) Developmental 85 Quotients(y) 88 87 94 96 Summary: n = 5, £x=30, £x² = 190, Ey= 450, Ey² = 40590, Exy = 2728 . a. Find the least square prediction equation, y on x. b. Obtain a 95% confidence interval for the average value of y when x 6.5 (i.e., a C.I. for E(y|x= 6.5)). c. Obtain the coefficient of correlation (r) and interpret the result. d. Test the hypothesis that H, :p= 0 vs. H, : p0. Use a =0.05.

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