How do i solve 4/a-2/b+1/4?

The average human gestation period is 270 days with a standard deviation of 9 days. The period is normally distributed. What is

Anna35 [415]

Answer:

Probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.

Step-by-step explanation:

We are given that the average human gestation period is 270 days with a standard deviation of 9 days. The period is normally distributed.

Firstly, Let X = women's gestation period

The z score probability distribution for is given by;

Z = $\frac{ X - \mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = average gestation period = 270 days

$\sigma$ = standard deviation = 9 days

Probability that a randomly selected woman's gestation period will be between 261 and 279 days is given by = P(261 < X < 279) = P(X < 279) - P(X $\leq$ 261)

P(X < 279) = P( $\frac{ X - \mu}{\sigma}$ < $\frac{279-270}{9}$ ) = P(Z < 1) = 0.84134

P(X $\leq$ 261) = P( $\frac{ X - \mu}{\sigma}$ $\leq$ $\frac{261-270}{9}$ ) = P(Z $\leq$ -1) = 1 - P(Z < 1)

= 1 - 0.84134 = 0.15866

Therefore, P(261 < X < 279) = 0.84134 - 0.15866 = 0.68

Hence, probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.

3 0

3 years ago

Here take these points and have fun with it

deff fn [24]

Answer:

thxs :)

Step-by-step explanation:

4 0

3 years ago

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I need help with 15 mutually exclusive question!!!! Hate stats so much

UNO [17]

Do you have notes that you could share with me? Then maybe I could manage to help out more

8 0

2 years ago

Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In p

Olegator [25]

Answer:

Reject H₀. There is a significant difference in drug resistance between the two states.

Step-by-step explanation:

In this case we need to determine whether the data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states.

The significance level of the test is, α = 0.02.

(1)

The hypothesis can be defined as follows:

H₀: There is no difference between the proportions of drug-resistant cases in the two states, i.e. $p_{1} - p_{2}= 0$ .

Hₐ: There is a statistically significant difference between the proportions of drug-resistant cases in the two states, i.e. $p_{1} - p_{2}\neq 0$ .

(2)

Compute the sample proportions and total proportion as follows:

$\hat p_{1}=\frac{12}{189}=0.063\\\\\hat p_{2}=\frac{8}{429}=0.019\\\\\hat p=\frac{12+8}{189+429}=0.032\\$

Compute the test statistic value as follows:

$Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}$

$=\frac{0.063-0.019}{\sqrt{0.032(1-0.032)\times [\frac{1}{189}+\frac{1}{429}]}}\\\\=2.86$

The test statistic value is 2.86.

(3)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

$p-value=2\cdot P(Z>2.86)=2\times 0.00212=0.00424$

p-value = 0.00424 < α = 0.02.

The null hypothesis will be rejected at 0.02 significance level.

Reject H₀. There is a significant difference in drug resistance between the two states.

7 0

3 years ago

PLEASE HELP ME I'LL FAIL MATH 20 POINTS

TiliK225 [7]

Answers:
1. 5(x-6)
2. k-9
3. 10x + 5
4. the quotient of some number and six
5. the quotient of three times a number and five
6. x^5

4 0

3 years ago

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