Suppose a die has three eyes on five of its faces, and six eyes on its sixth face. The die is rolled three times and the eyes are added together to form a random variable X. What is the expected value for X? O 10.5 09 06 O 13.5
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- From the table below, find Prof. Robot expected value lateness. X= lateness P (Lateness) on time 4/5 1hr late 1/10 2hrs late 1/20 3hrs late 1/206Suppose the avg score on Midt1 is usually 78, and on Midt2 is 73. If your final grade is weighted 0.85 and 0.15 for Midt1 and Midt2, respectively, what is the expected final course grade? (i.e. what is E(a*Midt1 + b*Midt2)? (Please round to two decimal places: ex: 12.34)
- How do u find expected valueBinomial Random Variable 2. According to the CDC, in 2015 20% of high school students rode with a driver (in the last 30 days) who had been drinking alcohol. Finish attemp A random sample 16 high school students was chosen. Assume the distribution is normal. Use the Binomial Distribution Table (PDF, 739 KB) (opens in new window) to find the probabilities. Please note, this question is specifically assessing your ability to use the table to find the probability. You may get a slightly different answer due to rounding if you use a calculator or other technology. 1. At least 15 have ridden with a drunk driver. P(r • 15) 2. Less than 4 have ridden with a drunk driver. P(r + 4) = 3. No more than 2 have ridden with a drunk driver. P(r • 2) = 4. Exactly 11 have ridden with a drunk driver. P(r • 11) = 5. At least 1 have ridden with a drunk driver. Pr + 1) = 6. Between 2 and 4 (exclusive) have ridden with a drunk driver. P(2 • 4) =REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults.† Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 11 children (9 years old) showed that they had an average REM sleep time of x1 = 2.9 hours per night. From previous studies, it is known that ?1 = 0.6 hour. Another random sample of n2 = 11 adults showed that they had an average REM sleep time of x2 = 2.2 hours per night. Previous studies show that ?2 = 0.7 hour. (a)
- A random variable X following binomial distribution with, P=0.32 and n=50 Find the expected value of x?Z denote a random variable following the standard normal distribution. Pr(Z>1.8) = ?Supposed random variable X has a Binomial distribution with 10 trials and probability of success = 0.4. What is E(X)?
- Suppose the avg score on Midt1 is usually 92, and on Midt2 is 74. If your final grade is weighted 0.61 and 0.39 for Midt1 and Midt2, respectively, what is the expected final course grade? (i.e. what is E(a*Midt1 + b*Midt2)? (Please round to two decimal places: ex: 12.34)Random samples of 1000 from a population with proportion 0.65 what is the standard error