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na So You Think You\'re x Q 1.5 Data Collection x Probability: the ba 1.5 Data C

ID: 3372070 • Letter: N

Question

na So You Think You're x Q 1.5 Data Collection x Probability: the ba 1.5 Data Collection: xProbability: the bas x rses/64487/assignments/642 530#submit PSYC 2317 Mark W. Tengler, M.S Assignment #7 Probability 7.1 A jar contains 10 black marbles and 40 white marbles. If you randomly select a marble from the jar, what is the probability that you will get a white marble? a. b. If you are selecting a random sample of n 3 marbles, and the first 2 marbles are both white, what is the probability that the third marble will be black? For each of the following z-scores, sketch a normal distribution and draw a vertical line at the location of the z-score. Then, determine whether the body is to the right or the left of the z-score and find the proportion of the distribution located in the body a. z 0.25 c, 7.2 b. 1.50 d. --0.40 z# 1.75 7.3 The distribution of scores on the SAT test is approximately normal with H 500 a. What proportion of the population have SAT scores above 650? b. What proportion of the population have SAT scores below 540? c, what is the minimum SAT score needed to be in the highest 20% of the population? what SAT score separates the top 60% from the rest of the distribution? d, F6 F7 F8 F9 F10

Explanation / Answer

Answer 7.1

total number of marbles = 10+40 = 50 marbles

(A) Probability of getting a white ball = favorable outcome/total outcomes

we can choose one white ball out of 40, so 40 favorable outcomes and there are 50 marbles in total, so we have 50 total outcomes

so, the required probability is given as

Probability of getting a white ball = favorable outcome/total outcomes = 40 / 50 = 4/5 or 0.8000

(B) we have already picked two white marbles, so total outcome becomes 50-2 = 48 marbles and we have to find the probability of selecting one black marble

we have 10 black marbles and 48 total marbles after selecting two white marbles

so,

Probability of getting a black marbles = favorable outcome/total outcome = 10 / 48 = 5/24 or 0.2083