Question

Asked Mar 12, 2019

1 views

Step 1

**The distribution:**

Denote *X*_{1}, *X*_{2} and *X*_{3} as the numbers of chickens out of the *n* = 18 tested chickens, which experience severe, moderate and minor side effects respectively. Here, *X*_{1} = 2, *X*_{2} = 4, *X*_{3} = 12, *X*_{1} + *X*_{2} + *X*_{3} = 18.

The probabilities for having severe, moderate and minor side effects are respectively *p*_{1} = 0.07, *p*_{2} = 0.15, *p*_{3} = 0.78, *p*_{1} + *p*_{2} + *p*_{3} = 1.

The reactions of the chickens are independent of each other.

Thus, the number of chickens with the three types of side effects has a multinomial distribution.

**Part (a):**

The probability that 2, 4 and 12 chickens will suffer severe, moderate and minor side effects respectively is:

Step 2

**Part (b):**

For a multinomial distribution, each *X _{i}* marginally follows the binomial distribution with parameters

Thus, the probability that no chickens suffer severe side effects is:

Step 3

**Part (c):**

The binomial mean with parameters *n* and *p* is *np*.

Thus, the mean number of chic...

Tagged in

Q: construct a probability distribution and draw a graph for a family of 3 children. Let X represent t...

A: According to the given question, construct a probability distribution and draw a graph for a family ...

Q: Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company c...

A: State the appropriate hypothesis:Let p be the population proportion of blue candies.A candy company ...

Q: A grocery store manager did a study to look at the relationship between the amount of time (in minut...

A: The estimated regression line is as follows:

Q: Number 15 A B C D

A: Note:Thank you for the question. However, your question has more than 3 parts. We are solving first ...

Q: Due to advances in medical science, the probability of a baby born in 2017 will be alive at age 90 i...

A: Binomial approximation:The normal distribution can be used as an approximation to the binomial distr...

Q: Consider a drug testing company that provides a test for marijuana usage. Among 301 tested subjects,...

A: Given hypothesis testp be the proportion of wrong test results Null hypothesis : p = 0.10Alternate H...

Q: Need (b) and (c) Let X denote the data transfer time (ms) in a grid computing system (the time requi...

A: (a)Finding the values of α and β :The random variable X represents the data transfer time in a grid ...

Q: Suppose x has a distribution with μ = 18 and σ = 10. (a) If a random sample of size n = 37 is drawn,...

A: In this question, it has been given that X follows a distribution with mean 18 and standard deviatio...

Q: In a survey of 4061 adults, 738 say they have seen a ghost. Construct a 99% confidence interval fo...

A: In this question, it has been given that 738 people out of 4061 people have seen the ghost, we have ...