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Approximately what proportion of normally distributed data are between observations 2 standard deviations less than the mean and one standard deviation above the mean? (Hint: draw a picture. It will help) 0 0.34 O 0.475 0 0.512 O 0.815 Suppose that total carbohydrate intake in 12- to 14-year-old boys is normally distributed with a mean of 120 g/1000 calories and a standard deviation of 20 g/1000 calories. Approximately what percent of boys in this age range have carbohydrate intake less than 80 g/1000 calories? O 16% O 2.5% O 50% O 18.65%ConsiderX, a variable, that follows a uniform density curve over the range of D to 2. Using this density curve, what proportion of observations of X are between 1.2 and 1.5? Report your answer to 2 decimal places. Report your answer as a proportion. Ifyou draw an M&M candy at random from a bag of the candies, the candy you draw will have one of six colors. The probability of drawing each color depends on the proportion of each color among all candies made. Assume the table below gives the probabilities for the color of a randomly chosen M&M: Probability 0.3 0.3 ? 0.1 0.1 0.1 What is the probability of NOT drawing a yellow candy? Keep your answer as a decimal and report to 1 decimal place. Suppose that A and B are two independent events with PM) = 0.3 and PUB) = 0.3. What is PM and l3c )? In other words, what is the probability of event A occurring AND not event B in the same probability experiment? Keep your answer as a decimal and round your answer to 2 decimal places