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pishuonlain [190]
3 years ago
15

The official run time of a movie is 140 minutes.Your friend who has seen the movie says its about 2.3 hours

Mathematics
1 answer:
Elza [17]3 years ago
3 0
A.
1 hour = 60 minutes ;
2 hour s= 120 minutes;
140 - 120 = 20 minutes ;
20 = 60 ÷ 3 ;
20 minutes represents ( 1 / 3 ) hour;
Then, 140 minutes represents 2 1 / 3 hours ;
2 1 / 3 = 7 / 3 = 2.(3) ;
B.
2.(3) > 2.3 ;
your friend underestimate the length of the movie ;
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Answer:

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Step-by-step explanation:

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

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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>.

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(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)

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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.

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