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madam [21]
3 years ago
13

What is the expectation for a binomial distribution with p = 0.5 and n = 8?

Mathematics
1 answer:
Natasha2012 [34]3 years ago
8 0

Answer: 4

Step-by-step explanation:

Given the following :

P = probability of success = 0.5

n = number of trials = 8

The expected value of a binomial distribution with probability of success P and number of trials n is defined by:

E(n, p) = n * p

Therefore, expected value when P = 0.5 and n = 8

E(8, 0.5) = 8 × 0.5

= 4

The expected value of the binomial distribution is 4

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The numerator of a fraction is four less than the denominator. If 17 is added to each.
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Answer:

x + 13 / x + 17

Step-by-step explanation:

x - 4 / x

x + 13 / x + 17

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frosja888 [35]

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3.5 cm

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A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest
OLEGan [10]

Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

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P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x ------> the amount of money that should be invested at the rate of 5.25%

25,000-x -----> the amount money that should be invested at the rate of 4%

in this problem we have

t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150

substitute in the formula above

I=P_1(r_1t)+P_2(r_2t)

1,150=x(0.0525*1)+(25,000-x)(0.04*1)

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1,150=0.0525x+1,000-0.04x

0.0525x-0.04x=1,150-1,000

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Answer:

y = 0.64/x^3

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If y is inversely proportional to a^3, we can write the equation:

y * a^3 = k

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6 0
3 years ago
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