Question 4(Multiple Choice Worth 1 points) (06.07 LC) Which expression is equal to 3x? Ox+ 3 Ox+ x + x O x + x2 0 2x + 1 ting

Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi

ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles carry just one person.

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

$P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291$

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

$\mu = np = 92(0.64) = 58.88$

$\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60$

We have to evaluate the probability that more than 47 cars carry just one person.

$P(x \geq 47)$

After continuity correction, we will evaluate

$P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)$

$= 1 - P(z \leq -2.6913)$

Calculation the value from standard normal z table, we have,

$P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%$

0.996 is the probability that more than half out of 92 vehicles carry just one person.

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Relative risk is an ideal form of measurement for a retrospective cohort study design because it allows researchers to recruit b

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This indicates that the individuals taking vitamin C were 53% less likely to catch a cold and that taking vitamin C has a protective effect, making them less likely to catch a cold.

This is further explained below.

<h3>What is vitamin C?</h3>

Generally, Vitamin C, which is also known as ascorbic acid, is an essential nutrient for the expansion, maturation, and maintenance of all of the body's tissues. It plays an important role in the synthesis of collagen, the absorption of iron, the appropriate functioning of the immune system, the healing of wounds, and the preservation of cartilage, bones, and teeth.

In conclusion, This suggests that those persons who took vitamin C were 53% less likely to develop a cold and that taking vitamin C has a protective impact, making them less likely to catch a cold.

Additionally, this implies that taking vitamin C makes one less likely to catch a cold.

Read more about vitamin C

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CQ

Researchers have conducted a study and determined that the relative risk for developing a cold for individuals taking vitamin C is 0.47 when compared to the number of participants in the study who developed a cold while not taking vitamin C. This is an indication of which of the following?

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Answer:

4

Step-by-step explanation:

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