Let X be the random variable with the density represented below. We denote by q1 and q2 the x-axis corresponding to the red and blue lines respectively. The red area equals 5% and the blue one 10%. Which of the following statements are true? The normal distribution N(2, 3) 0.10 0.05 0.00 The answer is a. The probability that X is in the interval [q1.q2] is 85%. b. To obtain q2 in R, one types qnorm(0.1,2,3) Can you explain why? Density f(x)

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Let X be the random variable with the density represented below. We denote by q1 and q2 the x-axis corresponding to
the red and blue lines respectively. The red area equals 5% and the blue one 10%. Which of the following statements
are true?
The normal distribution N(2, 3)
0.10
0.05-
0.00
The answer is
a. The probability that X is in the interval [q1,q2]is 85%.
b. To obtain q2 in R, one types qnorm(0.1,2,3)
Can you explain why?
(x), ksuag
Transcribed Image Text:Let X be the random variable with the density represented below. We denote by q1 and q2 the x-axis corresponding to the red and blue lines respectively. The red area equals 5% and the blue one 10%. Which of the following statements are true? The normal distribution N(2, 3) 0.10 0.05- 0.00 The answer is a. The probability that X is in the interval [q1,q2]is 85%. b. To obtain q2 in R, one types qnorm(0.1,2,3) Can you explain why? (x), ksuag
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