Which of the following random variable follows a continuous distribution? A. The outcome of flipping a...
Which of the following random variable follows a continuous distribution?
| A. |
The outcome of flipping a coin |
|
| B. |
A person's hight. |
|
| C. |
The outcome of rolling a die. |
|
| D. |
Next year's demand which is assumed to have 5 possible outcomes. |
Homework Answers
| B. |
A person's hight. |
A person's height may take infinite number of real values therefore it is continuous random variable.
Add Answer to:
Which of the following random variable follows a continuous
distribution?
A.
The outcome of flipping a...
Suppose you have a die that has probability p of resulting in the outcome 6 when rolled, where p is a continuous random...
Suppose you have a die that has probability p of resulting in the outcome 6 when rolled, where p is a continuous random variable that is uniformly distributed over [O, j]. Suppose you start rolling this die. (The value of p does not change once you start rolling.) Give exact answers as simplified fractions. (a) Compute the probability that the first roll is 6. b) Compute the probability that the first two rolls are both 6. (c) Let Si be...
A discrete random variable is: A. outcomes over a continuous range of real numbers B. a...
A discrete random variable is: A. outcomes over a continuous range of real numbers B. a numerical description of the outcome of an experiment C. one for which the number of possible outcomes can be counted D. one for which the number of possible outcomes can not be counted
A random variable follows the continuous uniform distribution between 120 and 260. Calculate the following quantities...
A random variable follows the continuous uniform distribution between 120 and 260. Calculate the following quantities for the distribution a) P(180 sxs 220) b) P(120sxs170) c) P(x> 160) d) What are the mean and standard deviation of this distribution?
10. A binomial distribution describes a random variable, X, that has 4 possible outcomes. Outcome 1...
10. A binomial distribution describes a random variable, X, that has 4 possible outcomes. Outcome 1 has a probability of 25%, Outcome 2 has a probability of 15%, Outcome 3 has a probability of 20%. What is the probability of Outcome 4? (5 pts)
5. A uniform probability distribution is one where the probabilities of each outcome are exactly the...
5. A uniform probability distribution is one where the probabilities of each outcome are exactly the same. Determine if each situation can be modelled by a uniform probability distribution. a. Rolling a 10-sided die. b. Flipping two regular coins. c. Drawing a marble out of a bag with 7 different coloured marbles inside. d. Playing a lottery where you choose 4 numbers out of 25 different numbers.
6.4.32 A random variable follows the continuous uniform distribution between 160 and 360. Calculate the following...
6.4.32 A random variable follows the continuous uniform distribution between 160 and 360. Calculate the following quantities for the distribution. a)P(220 less than or equal to x less than or equal to 330) b)P(160 less than or equal to x less than or equal to 280) c)P(x>180) d) What are the mean and standard deviation of this distribution? a)P(220 less than or equal to x less than or equal to 330)= (Type an integer or decimal rounded to three decimal...
1. Section 1.6, Exercise 10 Setting 1 for Heads and O for Tails, the outcome X...
1. Section 1.6, Exercise 10 Setting 1 for Heads and O for Tails, the outcome X of flipping a coin can be thought of as resulting from a simple random selection of one number from (0, 1). (b) The posible samples of size two, taken with replacement from the population (0, 1), are (e) Consider the statistical population consisting of the four sample variances obtained in (d) Compare σ륫 and E(Y). If the sample variance in part (b) was computed...
A random variable follows the continuous uniform distribution between 30 and 70 . a) Calculate the...
A random variable follows the continuous uniform distribution between 30 and 70 . a) Calculate the probabilities below for the distribution. 1) P(xless than or equals 55 ) 2) P(xequals 61 ) b) What are the mean and standard deviation of this distribution?
1. Consider a discrete random variable, X, where the outcome of this random variable is determined...
1. Consider a discrete random variable, X, where the outcome of this random variable is determined by throwing a 6-sided die. X takes on integer values 1,2,…,6. The die is fair. That is, P(X=1)= P(X=2)=…= P(X=6). i. Draw the probability distribution function for this random variable. Carefully label the graph. ii. Draw the cumulative distribution function for X. iii. Calculate the following: P(X=4) P(X≠5) P(X=1 or X=6) P(X4) E(X) Var(X) sd(X) iv. Consider the random variable Y where the outcome...
A random variable follows the continuous uniform distribution between 15 and 35. a) Calculate the probabilities...
A random variable follows the continuous uniform distribution between 15 and 35. a) Calculate the probabilities below for the distribution. 1) P(x≤30) 2) P(x=33) b) What are the mean and standard deviation of this distribution?
Suppose you have a die that has probability p of resulting in the outcome 6 when rolled, where p is a continuous random variable that is uniformly distributed over [O, j]. Suppose you start rolling this die. (The value of p does not change once you start rolling.) Give exact answers as simplified fractions. (a) Compute the probability that the first roll is 6. b) Compute the probability that the first two rolls are both 6. (c) Let Si be...
A random variable follows the continuous uniform distribution between 120 and 260. Calculate the following quantities for the distribution a) P(180 sxs 220) b) P(120sxs170) c) P(x> 160) d) What are the mean and standard deviation of this distribution?
1. Section 1.6, Exercise 10 Setting 1 for Heads and O for Tails, the outcome X of flipping a coin can be thought of as resulting from a simple random selection of one number from (0, 1). (b) The posible samples of size two, taken with replacement from the population (0, 1), are (e) Consider the statistical population consisting of the four sample variances obtained in (d) Compare σ륫 and E(Y). If the sample variance in part (b) was computed...
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