Homework 12 Write all final answers in decimal form to 3 decimal places (if nece

Question

Homework 12 Write all final answers in decimal form to 3 decimal places (if necessary) The summary below shoes the breakdown by position of the players picked in the 2017 NFL draft. Find the probability that a randomly select draft pick is Not a running back (RB) or a wide receiver (WR). (Source: NFL.com) 1. 10 27332143342 3232 24 What are the chances that with 6 people any of them celebrate their birthday in the same month? 2. 3. In American roulette, the wheel has 38 numbers, 00, 0, 1,2,3.... 5, and 36, marked on equally spaced slots. If a player bets $1 on a number and wins, then the player keeps the $1 and receives an additional $35. Otherwise, the player loses the dollar. a. How much is the player expected to win (or lose) if they play the game one time? b. How much is the player expected to win (or lose) if they play the game 10 times? A church is selling $5 raffle tickets for a Christmas event. The first prize is a trip to the Bahamas valued at $3,450 and the second prize a weekend massage and hotel package valued at $750 The remaining 20 prizes are $25 food gift cards. The number of tickets sold is 6000. Find the expected value. 4.

Explanation / Answer

I am doing Homework 11 (only one part here)

Q.1 Discrete or continuous.If a variable can take on any value between two specified values, it is called a continuous variable; otherwise, it is called a discrete variable.

(i) Lets x represent the number of books in Library. Discrete

(ii) Lets x represent the length of time it takes to school . Continuous

(iii) Lets x represent the volume of blood drive. Continuous

(iv) Lets x represent the number of people at concert. Discrete

(v) Lets x represent the distance a ball can reach. Continues.

Q.2 (a) all probability must be equal to 1

so P(0) + P(1) + P(2) + P(3) = 0.05 + 0.25 + 0.20 + P(2) = 1

P(2) = 0.5

(b) all probability must be equal to 1

P(8) = 1 - (0.01 + 0.25 + 0.15 + 0.17 + 0.01 + 0.23) = 0.18

Q.3 For a probability distribution sum of all probability must be equal to 1.

(a) P(x) = 0.686 + 0.195 +0.077+ 0.022 + 0.013 +0.007 = 1

so the given distribution is a probability distribution.

(b) P(x) = 2/5 + 3/6 + 2/8 + 3/7 + 3/7 + 1/100 + 1/25 = 2.057 which is not equal to 1

so the given distribution is not a probability distribution.

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