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MrRa [10]
2 years ago
15

Evaluate the expression when x = 12 and y = 2.

Mathematics
1 answer:
Fittoniya [83]2 years ago
7 0

Answer:

add me me on here

Step-by-step explanation:

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"6. A brand name has a 40% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small s
statuscvo [17]

Answer:

(a) The probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b) The probability that all of the selected consumers recognize the brand name is 0.0041.

(c) The probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d) The events of 5 customers recognizing the brand name is unusual.

Step-by-step explanation:

Let <em>X</em> = number of consumer's who recognize the brand.

The probability of the random variable <em>X</em> is, P (X) = <em>p</em> = 0.40.

A random sample of size, <em>n</em> = 6 consumers are selected.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The probability mass function of <em>X</em> is:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...

(a)

Compute the value of P (X = 5) as follows:

P(X=5)={6\choose 5}0.40^{5}(1-0.40)^{6-5}\\=6\times0.01024\times0.60\\=0.036864\\\approx0.0369

Thus, the probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b)

Compute the value of P (X = 6) as follows:

P(X=6)={6\choose 6}0.40^{6}(1-0.40)^{6-6}\\=1\times 0.004096\times1\\=0.004096\\\approx0.0041

Thus, the probability that all of the selected consumers recognize the brand name is 0.0041.

(c)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = P (X = 5) + P (X = 6)

              = 0.0369 + 0.0041

              = 0.041

Thus, the probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d)

An event is considered unusual if the probability of its occurrence is less than 0.05.

The probability of 5 customers recognizing the brand name is 0.0369.

This probability value is less than 0.05.

Thus, the events of 5 customers recognizing the brand name is unusual.

8 0
3 years ago
Which number is rational , square root 2 , pi , square root 10 or square 16
melamori03 [73]

The square root of 16 is rational.

8 0
3 years ago
Read 2 more answers
A line that includes the points (-1,8) and (1,6) what is the equation in point slope form
Delicious77 [7]

Step-by-step explanation:

6-8/1- -1 = -2/2 = -1 is the slope

y - 8 = -1(x+1)

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3 years ago
Yesterday, Michelle's Snack Shack went through 3 3/5 bottles of ketchup. If they used 1 3/10 times as much mustard as ketchup, h
Dima020 [189]
Okay. To find the answer to this question, let's multiply both fractions together. 3 3/5 as an improper fraction is 18/5 and 1 3/10 as an improper fraction is 13/10. Multiply straight across to get the values. 18/5 * 13/10 is 234/50 or 4 17/25 in mixed number form. Michelle's Snack Shack went through 4 17/25 bottles of mustard.
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3 years ago
Factor the trinomial:<br> 5x^2 + 12x + 7
DaniilM [7]
<h2>Hey mate,</h2><h3>I have attached the answer below</h3><h3>Hope it will help you...</h3>

7 0
3 years ago
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