Explain the purpose of statements

Credit cards place a three digit security code on the back of the cards. What is the probablity that a code starts with the # 7

lord [1]

We need more information

4 0

3 years ago

A financial talk show host claims to have a 55.3 % success rate in his investment recommendations. You collect some data over th

baherus [9]

Answer:

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

Step-by-step explanation:

For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In this problem we have that:

$p = 0.553, n = 10$

If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:

This is

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.553)^{0}.(0.447)^{10} = 0.0003$

$P(X = 1) = C_{10,1}.(0.553)^{1}.(0.447)^{9} = 0.0039$

$P(X = 2) = C_{10,2}.(0.553)^{2}.(0.447)^{8} = 0.0219$

$P(X = 3) = C_{10,3}.(0.553)^{3}.(0.447)^{7} = 0.0724$

$P(X = 4) = C_{10,4}.(0.553)^{4}.(0.447)^{6} = 0.1567$

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0003 + 0.0039 + 0.0219 + 0.0724 + 0.1567 = 0.2552$

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

3 0

3 years ago

I don't understand how to solve this

lord [1]

Answer:

7 and 5 are congruent

Step-by-step explanation:

which pair of angles is congruent meaning which pair of angles is the same when looking at the angles given angles 5 and 7 are the same

6 0

3 years ago

If you have earned income, which of the following retirement devices must you contribute to, by law

denpristay [2]

The correct answer is:

Social Security.

Explanation:

By law, every person must pay into Social Security when they get a job.

Social Security was developed by Franklin Roosevelt during the 1930s. It was created with the intention of creating a pension for all working people, regardless of the job they work. For this reason, everyone pays in to Social Security while they work and can draw it at retirement.

4 0

4 years ago

Read 2 more answers

Simplify 2.52 Answer choices A. 100 B. 20 C. 50 S. 49

Nata [24]

Answer:

d

Step-by-step explanation:

thats the answer

4 0

3 years ago