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Rudik [331]
3 years ago
13

Refer to the following formula for expected payoff:

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0

Answer:

Step-by-step explanation:

From the given information:

The price reduction = 98% = 0.98

Then \  the \  expected  \ payoff  \ =  \[(probability \  of \ matching \ price \  reduction  \ *  \ size \ of \  loss  \ from \  price \  cuts \ ) \  +  \ ( \ probability \  o f \  rivals\  not \  matching  \ * \  gain \ from \  price \  cuts  )]

where;

P(rival not matching ) = (100 - 98)% = 2%

P(rival not matching ) = 0.02

The expected payoff = [(0.98 * -800) + (0.02*50000)]

The expected payoff = [( -784+ 1000)]

The expected payoff = 216

(b) Probability of rivals reducing price = 5%

= 5/100

= 0.05

∴

Probability of rivals reducing price = 1 - 0.05 = 0.95

The expected payoff = (0.05 * -6000) + (0.95 *0)

The expected payoff = -300 + 0

The expected payoff = -300

(c) Yes.

Based on answers (a) and (b), the firm should cut the price.

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Answer: Each kid will receive one piece of cake and 1 hot dog, so 43 x 2 = 86

Step-by-step explanation:

43x2= 86

7 0
3 years ago
I need help ASAP ! Please
Ymorist [56]

Answer:

Step-by-step explanation: I hope you understand this better

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Can anyone help me?pls
Mama L [17]

Answer/Step-by-step explanation:

Given:

C = right angle = 90°

BC = a = ?

AB = c = 12

AC = b = 9

Required:

a, <A, and <B

Solution:

✔️Find a using Pythagorean Theorem:

a = √(c² - b²)

a = √12² - 9²) = √63

a = 7.93725393 = 8 (nearest whole number)

✔️Find A by applying trigonometric ratio:

Thus,

Reference angle = A

Hypotenuse = 12

Adjacent = 9

Therefore,

cos(A) = \frac{adj}{hyp} = \frac{9}{12}

cos(A) = 0.75

A = cos^{-1}(0.75)

m<A = 41° (nearest whole number)

✔️Find B:

m<B = 180 - (90 + 41) (sum of interior angles of triangle)

m<B = 49°

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3 years ago
Toxaphene is an insecticide that has been identified as a pollutant in the Great Lakes ecosystem. To investigate the effect of t
Likurg_2 [28]

Answer:

This data suggest that there is more variability in low-dose weight gains than in control weight gains.

Step-by-step explanation:

Let \sigma_{1}^{2} be the variance for the population of weight gains for rats given a low dose, and \sigma_{2}^{2} the variance for the population of weight gains for control rats whose diet did not include the insecticide.

We want to test H_{0}: \sigma_{1}^{2} = \sigma_{2}^{2} vs H_{1}: \sigma_{1}^{2} > \sigma_{2}^{2}. We have that the sample standard deviation for n_{2} = 22 female control rats was s_{2} = 28 g and for n_{1} = 18 female low-dose rats was s_{1} = 51 g. So, we have observed the value

F = \frac{s_{1}^{2}}{s_{2}^{2}} = \frac{(51)^{2}}{(28)^{2}} = 3.3176 which comes from a F distribution with n_{1} - 1 = 18 - 1 = 17 degrees of freedom (numerator) and n_{2} - 1 = 22 - 1 = 21 degrees of freedom (denominator).

As we want carry out a test of hypothesis at the significance level of 0.05, we should find the 95th quantile of the F distribution with 17 and 21 degrees of freedom, this value is 2.1389. The rejection region is given by {F > 2.1389}, because the observed value is 3.3176 > 2.1389, we reject the null hypothesis. So, this data suggest that there is more variability in low-dose weight gains than in control weight gains.

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Answer:

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