1. What are the characteristics of normal random variable?
Q: Question: What is the difference between a discrete and a continuous random variable?
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Q: Anticipated consumer demand in a restaurant for free -range steaks next month can be modeled by a…
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A: Given Information: Mean μ=7.1 Standard deviation σ=1.4
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Q: Explain the term Random Variables? Define discrete & continuous random variables?
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A: It is an important part of statistics. It is widely used.
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A: Given data,Mean μ=100variance σ2=16standard deviation σ=4
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A: Definition used:
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Q: What a-score corresponds to the top 15% of any normal random variable? 0.4401 -1.04 0.8023 1.04
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Q: Average value is always an expected value.
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A: mean = 15 sd = 10
Q: What is the probability of randomly selecting a z-score greater than z = -0.75 from a normal…
A: Let Z be a standard normally distributed random variable with mean 0 and standard deviation 1.
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Q: The standard deviation is also called the expected value. True
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- A fair coin is flipped 80 times and the number of heads that occur is noted. A random variable x is defined as the number of heads. Find the expected value, variance, and standard deviationTrue or False: Let X be the number of 3's in 8 rolls of a 6-faced fair die. X can be approximated as a Poisson random variable.(with explanations)Hypothesis Test is conjectured that the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is 0.62. Of interest is to test this claim versus the alternative that the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62. A simple random sample of 270 people who went trick-or-treating is selected, and 162 of them also had a pumpkin carved into a jack-o'-lantern at their home (and the other 108 did not). If appropriate, use this information to test if the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62 at the a = .10 level of significance. Which of the following provides both the correct null and the correct alternative hypothesis for this situation? НО: п = 0.62 Ha: π 0.62, Ha::n 0.58 Ha:: π < 0.62
- Tire pressure monitoring system is war in the driver when the tire pressure of the vehicle is 28% below the target pressur. suppose the target tire pressure of a certain car is 32 psi. at what psi will the tea TPMS trigger the warning for this car? suppose tire pressure is a normally distributed random variable with a standard deviation equal to three psi. If the cars average tire pressure is on target, what is the probability that the TPMS will trigger a warning? The manufacturers recommend correct inflation range is 30 psi to 34 psi assume the tires average psi is on target. If a tire on the car is inspected at random, what is the probability that the tires inflation is within the recommended range?If the probability that the random variable Z with a standard normal distribution is between the -k and k values is 0.90, which is ?5
- Distinguish between discrete random variable and continuous random variable. Why time cannot be measured in a discrete scale?1. How do you determine the values of a random variable? 2. How do you know whether a random variable is continuous or discrete? What is the difference between the two types of random variables?Find the value that will be exceeded by a standard normal random variable z in 98.90% of the time.