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The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

For this case we can assume that our random variable who represent the number of students that develop the disease is distributed on this way $X \sim Bin(n=100, p =0.05)$

And from definition the expected value is given by:

$E(X) = np = 100 *0.05 = 5$

And the variance is given by:

$Var (X) = np(1-p) = 100*0.05 *(1-0.05) =4.75$

And the deviation is given by:

$Sd(X) = \sqrt{4.75}= 2.179$

So we expect about 5 people with the disease in the random sample.

5 0

4 years ago

Which of the following statements is true of the relationship between maternal health and schizophrenia

Alexandra [31]

Answer:

The options are

A. Prenatal exposure to infections and diseases such as influenza, rubella, toxoplasmosis, and herpes has been linked to increased risk of schizophrenia.

B. Infection as a risk factor for schizophrenia is limited to the fetal environment.

C. Uncontrolled gestational diabetes experienced by a mother dramatically affects neural growth in the fetus.

D. If a woman suffers from high blood pressure during pregnancy, the risk of the child's developing schizophrenia later in life increases dramatically.

The answer is A. Prenatal exposure to infections and diseases such as influenza, rubella, toxoplasmosis, and herpes has been linked to increased risk of schizophrenia.

Explanation:

When the mother is exposed to infections and diseases such as influenza, rubella, toxoplasmosis, and herpes there is a risk of fetal infection.

The mother’s immune system however releases some substances such as cytokines and interleukins which are associated and linked to increased risk of schizophrenia in the fetus.

5 0

4 years ago