*Assume that the random variable X is normally distributed, with mean - 45 and standard deviation - 16. Answer the following Two questions: Q1. The probability P(X-77)- A) 0.8354 B) 0.9772 C)0 D) 0.0228 Q2. The mode of a random variable X is: B) 45 A) 66 C) 3.125 D) 50 dions

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pleaseee sir solve question 1 and 2

*Assume that the random variable X is normally distributed, with mean u-45 and standard deviation - 16.
Answer the following Two questions:
C) 0
D) 0.0228
Q1. The probability P(X=77) =
A) 0.8354
B) 0.9772
D) 50
Q2. The mode of a random variable X is:
A) 66
C) 3.125
B) 45
*If n=32, -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
0.20, then P(BA) is:
Q5. If P(A) 0.30, P(B)-0.40 and P(AB)
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
C) 0.1521
B)0.8413
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
*Consider the following table, and answer the following Two questions
Q8. Find the linear regression equation =a + bx
3
4
6
10
Y
8
6
7
3
A) -9.54-0.60x B)
13.11-0.81x C) -10.16-0.67x
10.11-0.71x
Q9. The correlation coefficient (r) between X and Y is:
A)-0.8987
B) 0.8632
C) -0.9603
Q10. Suppose we have a random variable X where P(X-k)=
(18)(0.29)*(0.7
k
What is the mean E(X) of X?
A) 5.22
B) 0.71
C) 4.35
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
D)
D) -0.9107
18-A
29) (0.71) for k=0,1,...,18.
D) 10.65
C) Symmetric
D) Parameter
D) bimodal
85
Transcribed Image Text:*Assume that the random variable X is normally distributed, with mean u-45 and standard deviation - 16. Answer the following Two questions: C) 0 D) 0.0228 Q1. The probability P(X=77) = A) 0.8354 B) 0.9772 D) 50 Q2. The mode of a random variable X is: A) 66 C) 3.125 B) 45 *If n=32, -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 0.20, then P(BA) is: Q5. If P(A) 0.30, P(B)-0.40 and P(AB) 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 C) 0.1521 B)0.8413 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 *Consider the following table, and answer the following Two questions Q8. Find the linear regression equation =a + bx 3 4 6 10 Y 8 6 7 3 A) -9.54-0.60x B) 13.11-0.81x C) -10.16-0.67x 10.11-0.71x Q9. The correlation coefficient (r) between X and Y is: A)-0.8987 B) 0.8632 C) -0.9603 Q10. Suppose we have a random variable X where P(X-k)= (18)(0.29)*(0.7 k What is the mean E(X) of X? A) 5.22 B) 0.71 C) 4.35 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 D) D) -0.9107 18-A 29) (0.71) for k=0,1,...,18. D) 10.65 C) Symmetric D) Parameter D) bimodal 85
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