Using the binomial distribution, it is found that there is a:
- 0.0036 = 0.36% probability that both are allergic to pollen.
- 0.1164 = 11.64% probability that at least one is allergic to pollen.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
Researching the problem on the internet, it is found that:
- 6% of the population is allergic to pollen, hence p = 0.06.
- Two people are chosen at random, hence n = 2.
The probability that both are allergic is P(X = 2), hence:
P(X = 2) = 0.06^2 = 0.0036.
0.0036 = 0.36% probability that both are allergic to pollen.
The probability of at least one is:
P(X >= 1) = 1 - P(X = 0) = 1 - 0.94^2 = 1 - 0.8836 = 0.1164.
0.1164 = 11.64% probability that at least one is allergic to pollen.
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer:
WHAT HAPPENED TO BILL AFTER THAT???
Answer:
Nitrate in the soil affect photosynthesis the least
Using the normal approximation to the binomial, it is found that there is a 0.0107 = 1.07% probability that more than 30 are single.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with
.
In this problem, the proportion and the sample size are, respectively, p = 0.22 and n = 200, hence:
The probability that more than 30 are single, using continuity correction, is P(X > 30.5), which is <u>1 subtracted by the p-value of Z when X = 30.5</u>, hence:
Z = -2.3
Z = -2.3 has a p-value of 0.0107.
0.0107 = 1.07% probability that more than 30 are single.
More can be learned about the normal distribution at brainly.com/question/24663213
