I SERIOUSLY CANNOT DO THIS PLEASE HELP I WILL MARK BRAINLIEST IF YOU GIVE ME A STEP BY STEP ANSWER FOR THIS!

Mathematics

1 answer:

julia-pushkina [17]3 years ago

7 0

What you do is multiply each number by 35. You get 35 by multiplying the denominators, 7 and 5. You then multiply the numerators and 51 by 35. Once you multiply the numerators you divide that answer by the denominator. Just remember, you multiply all of the numbers by 35 in this equation and ONLY divide the the answer by the denominator if it’s in a fraction.

When you convert them all..

10x+7=51

Now you can isolate the variable.

Subtract both sides by 7 so then it looks like..

10x = 24

Divide both sides by 10

Answer: x = 2 4/10; simplified to 2 2/5

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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.)

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