P(y) 40! y! (40-y)! (0.9) (0.1) 4⁰-y ▸ y 0,1,...39,40 E(y)
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- Let X be a normally distributed random variable with parameters u = 14 and o = 2. Evaluate the probabilities mentioned in the following items. Write the corresponding R expressions to get their values. 3.1. Probability that X is less than or equal to 10. 3.2. Probability that X is between 11 and 15. 3.3. Probability that X is greater than 16. 3.4. Probability that X 10.Help with step by stepConsider the following probability distribution function of X and Y: 1 2 0.35 0.05 Y 1 0.15 0.45 Find the variance of X and the variance of Y.
- Q4: The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance. 4- Standard deviation.Solve the last part pleaseQ4: The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance. 4- Standard deviation.
- Time left 1:2 In one sectlon of STAT 1811 course, there are 10 glrls and 20 boys. What Is the probability that in a randomly selected sample of two students from that section both will be glrls? O a. 0.3333 Ob. 0,1034 O c. 0.1111 d. 0.5000Q2. If the lifetime X of a hearing aid battery has Weibull distribution with a = 0.1,B = 0.5. Find the probability that such a battery a) Find varinceAn aerosolized vaccine for measles was developed in Mexico and has been used on 44 million children since 1980. Aerosolized vaccines have the advantages of being able to be administered by people without clinical training and do not cause injection‐associated infections. The percentage of children developing an immune response to measles after receiving the subcutaneous injection of the vaccine is 95%,95%, and for those receiving the aerosolized vaccine, it is 85%85% . There are 2020 children to be vaccinated for measles using the aerosolized vaccine in a small rural village in India. We are going to count the number who developed an immune response to measles after the vaccination. (b) What is the probability that at least one child does not develop an immune response to measles after receiving the aerosolized vaccine? (Enter your answer as a proportion rounded to four decimal places.)