If you add random variables (such as add four dice) the new distribution has a mean and standard ...
You have a pair of 4-sided dice. The four sides of each die are numbered 1, 2. 3, and 4. Each time the pair of dice is rolled, you add the numbers from each die. Out of all the possible ways the dice can land, how many of them give you a sum of 5? Number How many ways give you a sum of 8? Number What is the probability of rolling a sum of 7 with these dice? Number
1. Generating the sampling distribution of the mean Аа Аа Suppose you use sampling techniques to estimate the mean of the numbers 1, 2, 3, 4, 5, 6, 7, and 8. To do this, you perform an experiment in which you roll an eight-sided die two times (or equivalently, roll two eight-sided dice one time) and calculate the mean of your sample The true mean (u) of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 is and...
Suppose that 16 fair, 6-sided dice are rolled together (but independently). (a) What is the probability that the average face value (that is, after the roll, add the face values of all the dice together and then divide by 16) is between 3 and 4? (d) Let Y denote the total face value of the 16 dice after the roll. What is the mean and standard deviation of Y? (e) Now instead of rolling 16 dice, you roll n dice....
Problem 2. Assume that random variable X has normal distribution with mean 2 and standard deviation of 5 (1) Find the density of random variable Y = X3. (2) Find the mean and variance of random variable Y defined above in (1)
5. If a normal distribution has a mean of 30.5 and a standard deviation of 8.5, what is the value of the random variable X that has an area to its left equal to 0.8749? (round to one decimal place)
Suppose X and Y are random variables such that has a normal distribution with mean and standard deviation ? = 1. a). (4 points) Find a formula for E[Y |X = x]. b.) Compute E[Y] fy(y|X = )
A variable x has a normal distribution with a mean of 250 and a standard deviation of 20. What value of x would have a tail area of 5.5% to the left of the mean? 281.9639 270 230 218.0361
Standard Normal Distribution Activity 1. Roll and record 100 rolls of four, fair six-sided dice. 2. Theoretically, the mean, median, and mode should all be 14. Check to see if this is the case. What is likely to happen to these values if the number of rolls were increased to 200? 300? 1000? 3. Using the calculator, find the standard deviation for the data. 4. Answer the following questions: a. What percentage of the rolls were 12,13, 14,15, or 16?...
The vendor at Citi Field offers a health pack consisting of apples and oranges. The weight, X, of an apple has a normal distribution with a mean of 9 ounces and a standard deviation of 0.6 ounces. Independent of this, the weight, Y, of an orange has a normal distribution with a mean of 7 ounces and a standard deviation of 0.4 ounces. Suppose the health pack has a random selection of 4 apples with weights X1, X2, X3, X4...
The annual salary for a certain job has a normal distribution with a mean of $54,00054,000 and a standard deviation of σ=$5000σ=$5000. The annual salary for a certain job has a normal distribution with a mean of $54,000 and a standard deviation of o = $5000 1. Which sample size would allow us to use the normal approximation?n= all can be used + (Click to view hint) 2. What is the probability that the mean salary of random sample of...