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Elementary Statistics Midterm A Fall 2017 Name Show your work in the blue books.

ID: 2930004 • Letter: E

Question

Elementary Statistics Midterm A Fall 2017 Name Show your work in the blue books. Keep your eyes on your ewn paper. Any talking to another student will cancel your test. It is known that 70% of college students like rap music. In a group of 41 students, find the probability that: 3. a) Exactly 30 like rap music. b) Between 26 and 30 (inclusive) like rap music. c) Less than 26 like rap music. d) More than 30 like rap music.. S points 5 points 5 points 4. The time it takes for babies to learn to walk is known to be normally distributed with mean 9 months and standard deviation of 1. 5 months. What percent of babies learn to walk 5 points a) between 8 and 11 months. (inclusive) B more than 11 months. c) less than 8 months. d) If the longest 3.25% are considered to be "Late bloomers", how many months constitutes a "late bloomer" e) If the shortest 3.25% are considered as "ahead of their time, how 5 points 5 points 5 points months constitutes " ahead of their time"

Explanation / Answer

QUESTION 3

Pr( College students like music) p = 0.70

Number of students n = 41

(a) Exactly 30 like music.

Pr(X = 30) = BIN (X = 30; 41; 0.70) = 0.1262

(b) 26 to 30 (both including) like music

Pr( 26 <= X < = 30) = BIN(26 <= X < = 30; 41; 0.70) = BIN(X <= 30 ; 41; 0.70) - BIN (X < 26 ; 41; 0.70)

= 0.7251 - 0.1384 = 0.5867

(c) Less than 26 like rap music

Pr(X < 26) = BIN (X < 26 ; 41; 0.70) = 0.1384

(D) More than 30 like rap music

Pr(X >30) = BIN (X > 30; 41; 0.70) = 0.2749

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