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The brand name of Mrs. Fields (cookies) has a 90% recognition rate. If Mrs. fields herself wants to verify that rate by beginnin

Schach [20]

Answer:

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

Step-by-step explanation:

For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. This means that the binomial probability distribution is used to solve this question.

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.

The brand name of Mrs. Fields (cookies) has a 90% recognition rate.

This means that $p = 0.9$ .

Sample of 10

This means that $n = 10$

Find the probability that exactly 9 of the 10 consumers recognize her brand name.

This is P(X = 9). So

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

$P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874$

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

Also, find the probability that the number who recognize her brand name is not nine.

1(100%) subtracted by those who recognize. So

1 - 0.3874 = 0.6126

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

4 0

3 years ago

Find a polynomial function of the lowest degree, with real coefficients, with the given roots.

makvit [3.9K]

Answer:

D

Step-by-step explanation:

Roots into factors:

x = -4 ----> (x + 4)

x = i -----> (x - i)

x = 5 -----> (x - 5)

(x + i)(x - 4)(x + 5)

(x - i)(x² - 4x + 5x - 20)

(x - i)(x² + x - 20)

x³ + x² - 20x - (ix² + ix - 20i)

x³ + (1 - i)x² - (20 + i)x + 20i

5 0

3 years ago

Please help me i'm being timed

Evgen [1.6K]

To Find :-

The algebraic equations to solve the above problem .

Solution :-

Let ,

Large number = L
Small number = S

— According to first statement ,

L - S = 4
L - S - 4 = 0

— According to second statement ,

3L + 4S = 54
3L + 4S - 54 = 0 .

These equations matches with the second option b .

Option b is the correct answer.

7 0

3 years ago

-3-[(6+3)+(-5-18)]<img src="https://tex.z-dn.net/?f=-3-%5B%286%2B3%29%2B%28-5-18%29%5D" id="TexFormula1" title="-3-[(6+3)+(-5-18

dolphi86 [110]

Answer:

11

Step-by-step explanation:

3 0

2 years ago

A random sample of individuals over the age of 18 are sampled and asked, "What is your level of education?" The results are summ

grigory [225]

Answer:

Check the explanation

Step-by-step explanation:

1. The level of education as high school diploma (31% area).

Therefore the most frequent education level is High school Diploma.

2. Suppose there are 200 people in random sample. Pie diagram shows the percentage of people with Bachelor's degree is 19%

Therefore the number of people having Bachelor's degree among 200 people = 200×19% = 38

Therefore the answer is 38 .

3. Now the population size given is 6000. The percentage of individuals who have some collage but no degree is 17%

Therefore the number of individuals among 6000 individuals who have some collage but no degree = 6000×17% = 1020

Thereforethe answer is 1020 .

4. The percentage of individuals who have an associate's degree is 9% as per the pie diagram. The above pie diagram is based on a random sample of individuals. If we take another sample then also we may get different result. Therefore if we considere the entire population of U.S.A. the percentage of individuals who have an associate's degree may differ from 9% .

4 0

3 years ago