35. The following table give the distribution of the number of servings of fruits and vegetables consumed per day in a population. Number of servings X 0 2 3 4 5 Probability 0.3 0.1 0.1 0.2 0.2 0.1 a) What is the mean for this random variable and what is the interpretation within this context? (Do not round.) b) What is the standard deviation for this random variable and what is the interpretation within this context? (Round answer to the nearest thousandth.) 36. A survey of Canadian teens aged 12 to 17 years reported that roughly 75% of them used a fee-based website to download music, You decide to interview a random sample of 15 U.S. teenagers, who you are assuming behave similarly to the Canadian teenagers, What is the probability that at least 12 of the 15 teenagers in your sample use a fee-based website to download music? (Round answer to the nearest thousandth.) 37, A survey of Canadian teens aged 12 to 17 years reported that roughly 75% of them used a fee-based website to download music. You decide to interview a random sample of 15 U.S. teenagers, who you are assuming behave similarly to the Canadian teenagers. What is the mean of the count X who used a fee-based website to download music? Interpret this value as it pertains to teens and purchasing downloaded music. (Do not round.) 38. Would you stop illegal file sharing if you received a warning with a penalty notice attached? More than 1000 adult New Zealanders (aged 15 to 50 years) were asked this. Of those who have illegally file-shared content 70% said that they would stop. You randomly sample 4 new Zealanders who have illegally file- shared content ask them this question. Let X be the number who say "yes,, a) Find the probability of each possible value of X and create a probability distribution table, (Round each answer to the nearest thousandth.) b) Draw a probability histogram for this distribution, Be sure to give your histogram a title and label the axes