pleaseee sir solve question 11 and 12 *Assume that the random variable X is normally distributed, with mean u-45 and standard deviation - 16.Answer the following Two questions:C) 0D) 0.0228Q1. The probability P(X=77) =A) 0.8354B) 0.9772D) 50Q2. The mode of a random variable X is:A) 66C) 3.125B) 45*If n=32, -26.2, o-5.15,a=0.01 answer the following Two questionsQ3. The confidence interval for the population mean isA) (26.08, 26.32)D) (23.86, 28.54)C) (24.42, 27.56)B) (24.42, 27.98)Q4. The maximum error (the margin of error) of the estimation "E" is:A) 1.78B) 0.78C) 2.34D) 0.620.20, then P(BA) is:Q5. If P(A) 0.30, P(B)-0.40 and P(AB)A) 0.12B) ) 0.67C) 0.08D) 0.50*The mean height of residents in a large city is =69 Inches with a standard deviation a=6 Inches. Assume theheight of residents is normally distributed. Answer the following Two questions:Q6. If a resident is randomly selected from this city, the probability that his height is less than 74.1 Inches is about:A) 0.3413C) 0.1521B)0.8413D) 0.8023Q7. If 25 residents are randomly selected from this city, the probability that their average height (X) is less than 68.2Inches is aboutA) 0.2514B) 0.3120C) 0.1521D) 0.2164X*Consider the following table, and answer the following Two questionsQ8. Find the linear regression equation =a + bx34610Y8673A) -9.54-0.60x B)13.11-0.81x C) -10.16-0.67x10.11-0.71xQ9. The correlation coefficient (r) between X and Y is:A)-0.8987B) 0.8632C) -0.9603Q10. Suppose we have a random variable X where P(X-k)=(18)(0.29)*(0.7kWhat is the mean E(X) of X?A) 5.22B) 0.71C) 4.35Q11. In hypothesis testing, a Type 1 error occurs when:A) Anytime the decision is 'fail to reject'C) Anytime H, is rejectedB) Anytime Ho is rejectedD) All are correctQ12. A numerical summary (value) of a sample is calledA) MeasurementB) StatisticC) SampleQ13. If the median of data greater than the mean, then the data is:A) Right skewedB) Left skewedD)D) -0.910718-A29) (0.71) for k=0,1,...,18.D) 10.65C) SymmetricD) ParameterD) bimodal85

Answered: Image /qna-images/answer/45561e23-413c-411e-82bc-6053c408360b.jpg

*Assume that the random variable X is normally distributed, with mean u-45 and standard deviation - 16. Answer the following Two questions: D) 0.0228 Q1. The probability P(X=77) = A) 0.8354 C) 0 B) 0.9772 D) 50 Q2. The mode of a random variable X is: A) 66 C) 3.125 B) 45 *If n=32, x=26.2, o-5.15,a=0.01 answer the following Two questions Q3. The confidence interval for the population mean is A) (26.08, 26.32) D) (23.86, 28.54) C) (24.42, 27.56) B) (24.42, 27.98) Q4. The maximum error (the margin of error) of the estimation "E" is: A) 1.78 B) 0.78 C) 2.34 D) 0.62 Q5. If P(A) 0.30, P(B)-0.40 and P(AB)-0.20, then P(BA) is: A) 0.12 B)) 0.67 C) 0.08 D) 0.50 *The mean height of residents in a large city is =69 Inches with a standard deviation a=6 Inches. Assume the height of residents is normally distributed. Answer the following Two questions: Q6. If a resident is randomly selected from this city, the probability that his height is less than 74.1 Inches is about: A) 0.3413 B)0.8413 C) 0.1521 D) 0.8023 Q7. If 25 residents are randomly selected from this city, the probability that their average height (X) is less than 68.2 Inches is about A) 0.2514 B) 0.3120 C) 0.1521 D) 0.2164 X 3 4 *Consider the following table, and answer the following Two questions Q8. Find the linear regression equation =a + bx 6 10 Y 8 6 7 3 A) -9.54-0.60x B) 13.11-0.81x C) -10.16-0.67x D) 10.11-0.71x Q9. The correlation coefficient (r) between X and Y is: A)-0.8987 B) 0.8632 C) -0.9603 D) -0.9107 Q10. Suppose we have a random variable X where P(X-k)= 18 (**)(0.29) ( IN-A 0.29) (0.71) for k=0,1,...,18. k What is the mean E(X) of X? A) 5.22 B) 0.71 C) 4.35 D) 10.65 Q11. In hypothesis testing, a Type 1 error occurs when: A) Anytime the decision is 'fail to reject' C) Anytime H, is rejected B) Anytime Ho is rejected D) All are correct Q12. A numerical summary (value) of a sample is called A) Measurement B) Statistic C) Sample Q13. If the median of data greater than the mean, then the data is: A) Right skewed B) Left skewed C) Symmetric D) Parameter D) bimodal 85