In an experiment, 34% of lab mice cells exposed to chemically produced cat Mups responded positively (i.e., recognized the danger of the lurking predator). Consider a sample of 100 lab mice cells, each exposed to chemically produced cat Mups. Let xrepresent the number of cells that respond positively. Complete parts a through d below.a. Explain why the probability distribution of x can be approximated by the binomial distribution.There are identical trials. For each trial, therepossible outcome(s). The probability of each possible outcomefor each trial, and the trials are allb. Find E(x) and interpret its value, practically.E(x) = (Round to the nearest whole number as needed.)Interpret this value. Choose the correct answer below.O A. At most E(x) cells out of 100 will respond positively in similar experiments.O B. At least E(x) cells out of 100 will respond positively in similar experiments.OC. On average E(x) cells out of 100 will respond positively in similar experimentsO D. Exactly E(x) cells out of 100 will respond positively in similar experiments.c. Find the variance of x.The variance of x is(Round to two decimal places as needed.)d. Give an interval that is 95% likely to contain the value of x.Using the empirical rule, x is likely in the interval (O)(Round to one decimal place as needed.)

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In an experiment, 34% of lab mice cells exposed to chemically produced cat Mups responded positively (i.e., recognized the danger of the lurking predator). Consider a sample of 100 lab mice cells, each exposed to chemically produced cat Mups. Let x represent the number of cells that respond positively. Complete parts a through d below. a. Explain why the probability distribution of x can be approximated by the binomial distribution. There are identical trials. For each trial, there V possible outcome(s). The probability of each possible outcome V for each trial, and the trials are all b. Find E(x) and interpret its value, practically. E(x) =O (Round to the nearest whole number as needed.) Interpret this value. Choose the correct answer below. O A. At most E(X) cells out of 100 will respond positively in similar experiments. O B. At least E(x) cells out of 100 will respond positively in similar experiments. OC. On average E(x) cells out of 100 will respond positively in similar experiments. O D. Exactly E(X) cells out of 100 will respond positively in similar experiments c. Find the variance of x. The variance of x is (Round to two decimal places as needed.)

In an experiment, 34% of lab mice cells exposed to chemically produced cat Mups responded positively (i.e., recognized the danger of the lurking predator). Consider a sample of 100 lab mice cells, each exposed to chemically produced cat Mups. Let x represent the number of cells that respond positively. Complete parts a through d below. a. Explain why the probability distribution of x can be approximated by the binomial distribution. There are identical trials. For each trial, there V possible outcome(s). The probability of each possible outcome V for each trial, and the trials are all b. Find E(x) and interpret its value, practically. E(x) =O (Round to the nearest whole number as needed.) Interpret this value. Choose the correct answer below. O A. At most E(X) cells out of 100 will respond positively in similar experiments. O B. At least E(x) cells out of 100 will respond positively in similar experiments. OC. On average E(x) cells out of 100 will respond positively in similar experiments. O D. Exactly E(X) cells out of 100 will respond positively in similar experiments c. Find the variance of x. The variance of x is (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

In an experiment, 34% of lab mice cells exposed to chemically produced cat Mups responded positively (i.e., recognized the danger of the lurking predator). Consider a sample of 100 lab mice cells, each exposed to chemically produced cat Mups. Let x
represent the number of cells that respond positively. Complete parts a through d below.
a. Explain why the probability distribution of x can be approximated by the binomial distribution.
There are identical trials. For each trial, there
possible outcome(s). The probability of each possible outcome
for each trial, and the trials are all
b. Find E(x) and interpret its value, practically.
E(x) = (Round to the nearest whole number as needed.)
Interpret this value. Choose the correct answer below.
O A. At most E(x) cells out of 100 will respond positively in similar experiments.
O B. At least E(x) cells out of 100 will respond positively in similar experiments.
OC. On average E(x) cells out of 100 will respond positively in similar experiments
O D. Exactly E(x) cells out of 100 will respond positively in similar experiments.
c. Find the variance of x.
The variance of x is
(Round to two decimal places as needed.)
d. Give an interval that is 95% likely to contain the value of x.
Using the empirical rule, x is likely in the interval (O)
(Round to one decimal place as needed.)

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