What is the answer to the q's

A study was conducted to determine whether there were significant differences between medical students admitted through special

Mekhanik [1.2K]

Answer:

$P(X\geq 9)=P(X=9)+P(X=10)$

And using the probability mass function we got:

$P(X=9)=(10C9)(0.913)^9 (1-0.913)^{10-9}=0.383$

$P(X=10)=(10C10)(0.913)^{10} (1-0.913)^{10-10}=0.402$

And replacing we got:

$P(X \geq 9) = 0.383 +0.402= 0.785$

Step-by-step explanation:

Let X the random variable of interest "number of students graduated", on this case we now that:

$X \sim Binom(n=10, p=0.913)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We want to find the following probability:

$P(X\geq 9)=P(X=9)+P(X=10)$

And using the probability mass function we got:

$P(X=9)=(10C9)(0.913)^9 (1-0.913)^{10-9}=0.383$

$P(X=10)=(10C10)(0.913)^{10} (1-0.913)^{10-10}=0.402$

And replacing we got:

$P(X \geq 9) = 0.383 +0.402= 0.785$

3 0

4 years ago

A small post office has two open windows. Customers arrive according to a Poisson distribution at the rate of 1 every 3 minutes.

Marina CMI [18]

Answer:

A) probability that an arriving customer will wait in line is 67%

B)the probability that both windows are idle is 0.33

C) the average length of the waiting line is 1.33

D)it would not be possible to offer a reasonable service with only one window

Step-by-step explanation:

arrival rate: δ = 20 x 0.80 = 16 customers per hour

service rate: μ = 2 × (60/5) = 24 customers/hour

Utilization factor is given as;

Φ = δ/μ

So, Φ = 16/24 ≈ 0.67

A) the probability that an arriving customer will wait in line is;

16/24 x 100% ≈ 67%

B) probability that both windows are idle is;

P(x=0) = 1 - 0.67 = 0.33

C) The average number of customers in the post office will be;

L_s = Φ/(1 - Φ)

L_s = 0.67/(1 - 0.67)

L_s = 0.67/0.33

L_s ≈ 2 customers

Thus, the average length of the waiting line is;

L_w = L_s - Φ

L_w = 2 - 0.67

L_w = 1.33

D) this part demands that we find the utilization factor with only one window.

Thus;

arrival rate: δ = 20 x 0.80 = 16 customers per hour

And

service rate: μ = 1 × (60/5) = 12 customers/hour

Thus, Utilization factor = 16/12 = 1.33

Thus, it would not be possible to offer a reasonable service with only one window

3 0

3 years ago

How much must be invested today in order to generste

Marysya12 [62]

Answer:

$147,796.80

Step-by-step explanation:

In this question, we have to find out the present value which is shown below:

The computation of the present value is shown below:

= Annual payment × PVIFA for 5 years at 12%

= $41,000 × 3.6048

= $147,796.80

Refer to the PVIFA table

We simply multiply the annual payment with the PVIFA in order to get the exact amount.

The present value comes after taking into account the discount rate for the amount of periods given in the question

3 0

3 years ago

Use the following data set to answer numbers 1 - 4.

alukav5142 [94]

Answer:

1. 13+18+13+14+13+16+14+21+13

= 145/9

=16.11

2. Range =145

3. Mode =13

4. Median =14

Step-by-step explanation:

6 0

2 years ago

An ancient culture labeled certain numbers as square numbers. The numbers 1, 4, 9, 16, 25, and so on are square numbers. Comp

andreyandreev [35.5K]

The next five sequence based on the information about the square will be 36, 49, 64, 81 and 100.

<h3>How to illustrate the information?</h3>

From the information, it was stated that an ancient culture labeled certain numbers as square numbers and that the numbers 1, 4, 9, 16, 25, and so on are square numbers.

It should be noted that the number given are squares of 1,2,3...

Therefore, the next five sequence will be:

6 × 6 = 36

7 × 7 = 49

8 × 8 = 64.

9 × 9 = 81

10 × 10 = 100

Learn more about square on:

brainly.com/question/25092270

#SPJ1

An ancient culture labeled certain numbers as square numbers. The numbers 1, 4, 9, 16, 25, and so on are square numbers. Describe the procedure to determine the next five sequence.

6 0

2 years ago