ou roll a die and if the die is a 6 you win $100. The y and you decide to play the game until you win the $100. Each time you roll a die you pay $5, and if it is not a 6, you lose your $5. How much money should you expect to spend on this game? Here is the setup for a non-traditional dice game: You roll a die and if the die is a 6 you win $100. The game costs $5 to play and you decide to play the game until you win the $100. Each time you roll a die you pay $5, and if it is not a 6, you lose your $5. How much money should you expect to spend on this game? The heights of adult men in America are normally distributed, with a mean of 69.9 inches and a standard deviation of 2.71 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.9 inches and a standard deviation of 2.61 inches. a) If a man is 6 feet 2 inches tall, what is his z-score (to two decimal places)?and you decide to play the game until you win the $100. Each time you roll a die you pay $5, and if it is not a 6, you lose your $5. How much money should you expect to spend on this game? The number of chocolate chips in a cholate chip cookie has a bell-shaped distribution. This distribution has a mean of 12 and a standard deviation of 4. Using the empirical rule (as presented in the book), what is the approximate percentage cookies numbering between 4 and 24? (Round percent number to 2 decimal places.) ans = The heights of adult men in America are normally distributed, with a mean of 69.9 inches and a standard deviation of 2.71 inches. The heights of adult women in America are also norm bly distributed, but with a mean of 64.9 inches and a standard deviation of 2.61 inches. a) If a man is 6 feet 2 inches tall, what is his z-score (to two decimal places)?The heights of adult men in America are normally distributed, with a mean of 69.9 inches and a standard deviation of 2.71 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.9 inches and a standard deviation of 2.61 inches. a) If a man is 6 feet 2 inches tall, what is his z-score (to two decimal places)? b) If a woman is 5 feet 6 inches tall, what is her z-score (to two decimal places)? c) Who is relatively taller? The 6 foot 2 inch American man O The 5 foot 6 inch American woman mean of 64.9 inches and a standard deviation of 2.61 inches. a) If a man is 6 feet 2 inches tall, what is his z-score (to two decimal"places)?company knows that replacement times for the calculators it produces are normally distributed with a mean of 2.6 years and a standard deviation of 0.4 years. Find the probability that a randomly selected calculators will have a replacement timeless than 1.3 years? Write your answer accurate to 4 decimal places. A large company knows that replacement times for the calculators it produces are normally distributed with a mean of 2.6 years and a standard deviation of 0.4 years. Find the probability that a randomly selected calculators will have a replacement time less than 1.3 years? Write your answer accurate to 4 decimal places. When taking a 9 question multiple choice test, where each question has 4 possible answers, it would be unusual to get or more questions correct by guessing alone. Give your answer as a whole number. (Assume that the threshold for an "unusual" event is considered to be one that has a likelihood of 5% or less. Hint: Try starting around x=6.) (1))replacement times for the calculators it produces are normally distributed with a mean of 2.6 years and a standard deviation of 0.4 years. Find the probability that a randomly selected calculators will have a replacement time less than 1.3 years? Write your answer accurate to 4 decimal places. A large company knows that replacement times for the calculators it produces are normally distributed with a mean of 10 years and a standard deviation of 1.3 years. If the company wants to provide a warranty so that only 2.5% of the calculators will be replaced before the warranty expires, what is the time length of the warranty? (Write your answer as a number accurate to 1 decimal place.) When taking a 9 question multiple choice test, where each question has 4 possible answers, it would be unusual to get or more questions correct by guessing alone. Give your answer as a whole number. (Assume that the threshold for an "unusual" event is considered to be one that has a likelihood of 5% or less. Hint: Try starting around x=6.) &A large company knows that replacement times for the calculators it produces are normally distributed with a mean of 2.6 years and a standard deviation of 0.4 years. Find the probability that a randomly selected calculators will have a replacement time less than 1.3 years? Write your answer accurate to 4 decimal places. A large company knows that replacement times for the calculators it produces are normally distributed with a mean of 10 years and a standard deviation of 1.3 years. If the company wants to provide a warranty so that only 2.5%% of the calculators will be replaced before the warranty expires, what is the time length of the warranty? (Write your answer as a number accurate to 1 decimal place.) When taking a 9 question multiple choice test, where each question has 4 possible answers, it would be or more questions correct by guessing alone. Give your answer as a whole unusual to get number. (Assume that the threshold for an "unusual" event is considered to be one that has a likelihood of 5% or less. Hint: Try starting around x=6.)When taking a 9 question multiple choice test, where each question has 4 possible answers, it would be unusual to get or more questions correct by guessing alone. Give your answer as a whole number. (Assume that the threshold for an "unusual" event is considered to be one that has a likelihood of 5% or less. Hint: Try starting around x=6.) When taking a 9 question multiple choice test, where each question has 4 possible answers, it would be unusual to get L or more questions correct by guessing alone. Give your answer as a whole number. (Assume that the threshold for an "unusual" event is considered to be one that has a likelihood of 5% or less. Hint: Try starting around x=6.) 26 Single 23 12 35 Total 37 38 75 Based on this data: (give your answers to as fractions, or decimals to at least 3 decimal places.) a) The proportion of people surveyed that own a house is: b) Assume that this proportion is true for ALL people (e.g. that this proportion applies to any group of people). If 7 people are chosen, the probability that exactly 3 would own a house:A survey is conducted and the data is summarized in the following table: Owns a House Has Children Total Married 14 26 40 Single 23 12 35 Total 37 38 75 Based on this data: (give your answers to as fractions, or decimals to at least 3 decimal places.) a) The proportion of people surveyed that own a house is: b) Assume that this proportion is true for ALL people (e.g. that this proportion applies to any group of people). If 7 people are chosen, the probability that exactly 3 would own a house: a) The proportion of people surveyed that own a house is: b) Assume that this proportion is true for ALL people (e.g. that this proportion applies to any group of people). If 7 people are chosen, the probability that exactly 3 would own a house:a z-score of 0.9 (to 2 decimal places) / 4.U and a standard deviation of 6.2. Find the test score of a student with Grades on a test have a mean of 72.0 and a standard deviation of 6.2. Find the test score of a student with a z-score of 0.9 (to 2 decimal places) The probability density of a random variable X is given in the figure below.C 01 0.9 (to 2 decimal places) Jard deviation of 6.2. Find the test score of a student with The time it takes me to go grocery shopping is uniformly distributed between 96 minutes and 204 minutes. The time it takes me to go grocery shopping is uniformly distributed between 96 minutes and 204 minutes. What is the probability that grocery shopping tonight will take me between 181 and 203 minutes? Give your answer accurate to two decimal places. The probability density of a random variable X is given in the figure below.variable X is given The probability density of a random variable X is given in the figure below. X 0 1 2 3 4 5 6 7 8 9 10 From this density, the probability that X > 5.3 or X 5.3 or X