Math Questions - Topics: Probability Distributions, Binomial Probability Distributions & Normal Probability Distributions

Question 1: Refer to Question 1 - Probability Distribution.png

Question 1 (4 points) *ALL ANSWERS FOR THIS QUESTION MUST BE ANSWERED BASED ON THE "BY HAND/TABLE" CALCULATION METHOD*** *ANSWERS FOUND BY EXCEL FUNCTION WILL BE MARKED AS WRONG*** Average adult height in Canada follows a normal distribution. Canadian men have a mean height of 174.3cm with a standard deviation of 7.19cm, whereas women have a mean height 161.4cm with a standard deviation of 6.26cm. BLANK 1: What is the z-score of a Canadian woman with a height of 153.26cm? ANSWER TO 2 DECIMALS BLANK 2: What is the probability a Canadian woman will be SHORTER than 153.26cm? ANSWER TO 4 DECIMALS BLANK 3: What percentage of men are TALLER than 187.24cm? ANSWER AS A PERCENTAGE TO 2 DECIMALS, INCLUDE PERCENT SIGN..EXAMPLE 12.34% BLANK 4: The TOP 20% of men are above what height? ANSWER TO 3 DECIMALS, INCLUDE UNITS WITH ANSWER..EXAMPLE 123.456cm Blank # 1 Blank # 2 A/ Blank # 3 A/ Blank # 4Question 2 (4 points) For a normally distributed population with a mean of 375 and standard deviation of 35 answer the following questions. BLANK #1: What is the probability of finding a value below 335.8? (ANSWER IN DECIMAL FORM TO 4 DECIMAL PLACES) BLANK #2: What percent of values are above 425.4? (ANSWER AS A PERCENT TO 2 DECIMAL PLACES..INCLUDE PERCENT SIGN WITH ANSWER) BLANK #3: The bottom 10% of observations are below what value? (ANSWER TO 2 DECIMAL PLACES) BLANK #4: What value would you expect to find the top 15% above? (ANSWER TO 2 DECIMAL PLACES) Blank # 1 A/ Blank # 2 A Blank # 3 A/ Blank # 4