The question is incomplete! Complete question along with answers and step by step explanation is provided below.
Question:
(a) Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on each trial. Under what conditions is it appropriate to use a normal approximation to the binomial? (Select all that apply.)
nq > 10
np > 5
p > 0.5
np > 10
p < 0.5
nq > 5
(b) What is the probability of "12" or fewer successes for a binomial experiment with 20 trials. The probability of success on a single trial is 0.50. Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)
Answer:
(a) The correct options are np > 5 and nq > 5
(b) P(x ≤ 12) = 0.8133
Step-by-step explanation:
Please refer to the attached images for explanation, I am unable to type in text editor due to some technical error!
Answer:
y = 4/5 x + 2/5
Step-by-step explanation:
The inequality written in interval notation is therefore -4<x<-1 or (-4, -1)
<h3 /><h3>What are inequalities?</h3>
Inequalities are expressions separated by the mathematical inequalities ≤, ≥, < and >
For instance a < b is a form of inequality.
<h3>What is a number line?</h3>
A number line is a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
From the given number line, we can see that closed circles are on -4 and -1. The inequality written in interval notation is therefore -4<x<-1 or (-4, -1)
Learn more on inequality here: brainly.com/question/24372553
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Answer:
Step-by-step explanation:
Given the rational expression: 
, to express this in simplified form, we would need to apply the concept of partial fraction.
Step 1: factorise the denominator
Thus, we now have: 
Step 2: Apply the concept of Partial Fraction
Let,
= 
Multiply both sides by (x - 1)(x - 4)
= 
Step 3:
Substituting x = 4 in
Substituting x = 1 in
Step 4: Plug in the values of A and B into the original equation in step 2
