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stellarik [79]
3 years ago
13

What is the following product? Assume b>0

Mathematics
1 answer:
goldenfox [79]3 years ago
6 0
I’m sorry, need more information
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4-It has been a bad day for the market, with 70% of securities losing value. You are evaluating a portfolio of 20 securities and
riadik2000 [5.3K]

Answer:

b) 0.0007

c) 0.4163

d) 0.2375

Step-by-step explanation:

We are given the following:

We treat securities lose value as a success.

P(Security lose value) = 70% = 0.7

Then the securities lose value follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 20.

a) Assumptions

  • There are 20 independent trials.
  • Each trial have two possible outcome: security loose value or security does not lose value.
  • The probability for success of each trial is same, p = 0.7

b) P(all 20 securities lose value)

We have to evaluate:

P(x = 20)\\= \binom{20}{0}(0.7)^0(1-0.7)^{20}\\= 0.0007

0.0007 is the probability that all 20 securities lose value.

c) P(at least 15 of them lose value.)

P(x \geq 15)\\= P(x=15) + P(x = 16) + P(x=17) + P(x=18) +P(x = 19) +P(x = 20)\\ \binom{20}{15}(0.7)^{15}(1-0.7)^{5} +...+ \binom{20}{20}(0.7)^{20}(1-0.7)^{0} \\=0.4163

d) P(less than 5 of them gain value.)

P(gain value) = 1 - 0.7 = 0.3

P(x < 5)\\= P(x=0) + P(x = 1) + P(x=2) + P(x=3) +P(x = 4)\\ \binom{20}{0}(0.3)^{0}(1-0.3)^{20} +...+ \binom{20}{4}(0.3)^{4}(1-0.3)^{16} \\=0.2375

7 0
3 years ago
Mary Ann and Abigail were shopping for prom shoes and wondered how the prices at Payless compared to the prices at Famous footwe
Komok [63]

Answer:

Step-by-step explanation:

how the prices at Payless compared to the prices

at Famous Footwear. At each store, they randomly

selected 30 pairs of shoes and recorded the price of

each pair. The table shows summary statistics for

the two samples of shoes.28

Store

Mean

SD

Famous Footwear

$45.66

$16.54

Payless

$21.39 $7.47

Do these data provide convincing evidence at the

0.05 significance level that shoes cost less

, on

average, at Payless than at Famous Footwear?

a =

7 0
3 years ago
What is the value of the expression below? 8 + 24 / 2 X 6 - 4
umka21 [38]

8 + 24 / 2 X 6 - 4

following order of operations divide 24 by 2:

8 + 12 x 6 -4

Multiply 12 by 6:

8 + 72 -4

Add 8 and 72:

80-4

Subtract to get 76

6 0
3 years ago
Read 2 more answers
Ricky caught a snake that was 58.2 centimeters long. Which of these lengths has an 8 with a value of 1/10 the value of the 8 in
Anettt [7]

In every number, set every digit to zero that is not 8. Then look at the question again.

"Which of these lengths has 1/10 the value of 8.0?"

  • A. 800
  • B. 0.08
  • C. 80
  • D. 0.80

We hope the answer D is obvious to you.

... 0.80 = (1/10)×8.0

___

The appropriate choice is ...

... D. 209.86

8 0
3 years ago
How old am I if 500 reduced by 3 times my age is 230?
nadya68 [22]
X= my age
500-3x=230
500-3x-230=230-230
270-3x=0
270-3x+3x=0+3x
270=3x
270/3=3x/3
x=90
you are 90 years old
3 0
3 years ago
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