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saw5 [17]
3 years ago
7

A group of 8 students apply for MBA program at CBA, CSULB. According to the historical data, probability of admittance at MBA pr

ogram is .65. Using the formula and showing all work and steps, compute the followings:
Probability for the following number of students to get admitted:

3, 2, 1, 0

Probability of at least 4 students get admitted

Expected value of the discrete probability

Standard deviation
Mathematics
1 answer:
balu736 [363]3 years ago
6 0

Answer:

Probability = 0.894

Expected value = 5.2

Standard deviation = 1.349

Step-by-step explanation:

Given that

p = 0.65

n = 8

q = 1 - p

= 1 - 0.65

= 0.35

P(x) = ^n(c_x)\times P^x\times q^{n-x}

For P(3)

= ^8c_3\times 0.65^3\times 0.35^5

Which gives result

= 0.0808

For P(2)

= ^8c_2\times 0.65^2\times 0.35^6

Which gives result

= 0.0217

For P(1)

= ^8c_1\times 0.65^1\times 0.35^7

which gives result

= 0.0033

For P(0)

= 0.35^8

= 0.0002

Now probability is at least getting admitted of 4 students

= 1 - {P(3) + P(2) + P(1) + P(0)}

= 1 - (0.0808 + 0.0217 + + 0.0033 + 0.0002)

= 1 - 0.106

= 0.894

Expected value = n\times p

= 8\times 0.65

= 5.2

Standard deviation

= \sqrt{n\times p\times q} \\\\\ = \sqrt{8\times 0.65\times 0.35}

= 1.349

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3 years ago
Can we predict how fast a tennis player can hit a serve from the playerâs height? The following computer output and scatterplot
olga_2 [115]

Complete question :

The computer output and scatter plot output pertaining to the question can be found in the attached picture.

Answer:

Kindly check explanation

Step-by-step explanation:

A.) Relationship between height and fastest serve speed :

According to the scatterplot and Correlation Coefficient (R) value which can be obtauned by getting the square root of R²

R = √27.7%

R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed

B.)

Equation of least square regression line :

From the computer output and scatter plot above :

Recall :

y = mx + c

y =predicted variable (s fastest serve)

m= slope

x = predictor variable (height)

c = intercept

y = 84.98x + 68.81

C.) 27.7% of the variation in fastest speed can be explained by height while the remaining percentage is due to other variables

D.) fastest serve of tennis player with height 1.7m

y = 84.98x + 68.81

y = 84.98(1.7) + 68.81

y = 213.276km/hr

E.)

R = √27.7%

R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed

F.)

Height = 2.06m = x

y = 84.98(2.06) + 68.81

y = 243.8688 km/hr

Residual = Actual - predicted

Actual = 230 ; predicted = 243.8688

Residual = 230 - 243.8688

Residual = −13.8688

Hence, the model overestimated fastest serve speed of a 2.06 m tall player by −13.8688 km/hr

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3 years ago
Mark buys Apple stock for $100 and its value increases by a factor of 1.5 each week. Which equation represents the relationship
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Given:

Initial value of the stock = $100

Growth factor = 1.5 each week.

To find:

The equation that represents the relationship between the number of weeks past since purchase and the current value of the stock.

Solution:

Let V be the current value of the stock after t week.

The exponential growth model is:

V=ab^t

Where, a is the initial value of stock, b is the weekly growth factor, t is the number of weeks.

Substituting a=100,b=1.5, we get

V=100(1.5)^t

Therefore, the required equation for the given situation is V=100(1.5)^t.

3 0
2 years ago
Can somebody check this and tell me if its wrong or right? ASAP
Mandarinka [93]

Answer:

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Step-by-step explanation:

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