What is -7.1 divided by 2.5.

A model for the movement of a stock supposes that if the present price of the stock is s, then, after one period, it will be eit

aleksklad [387]

Answer:

$P(X\geq 470)=0.9991$

Step-by-step explanation:

Present price of stock is s, if x is the times that the stock increases (by u) among the 1000 periods we can calculate the price after 1000 periods as follows:

$s*u^n*d^{(1000-x)}$ note that if the price increase n periods, so it should decreases in the other 1000-x periods.

We need that the price be 30% higher or 1.3 times the initial price. That requirement is expressed as follows:

$s*u^n*d^{(1000-x)}>1.3s$

applying properties of exponents and reorganizing.

$d^{1000}(\frac{u}{d})^x>1.3$

solving for x

$1000 log(d)+ x log (\frac{u}{d})>log(1.3)$

$x >\frac{log(1.3)-1000 log(d)}{log (\frac{u}{d})}$

Using the values given d= 0.99 and u=1.012

$x > 469.208967$

So, we need at least 470 increase periods

Now we can calculate the probability of have 470 increase periods or more, taking into account that the distribution of x is binomial, the period can be and increase period with 0.52 of probability and we have 1000 total trials.

The formula for the binomial cumulative probability function is

$F(x;p,n) = \Sigma_0^x \left(\begin{array}{c}n&i\end{array}\right)p^i(1-p)^{n-i}$

With this formula we can calculate the probability of obtain x successful trials or less ( $P(X\leq x)$ ). There, p is the probability of success (probability of increase period in this case), x is the maximum number of successful trials, n the number of total trials. We should calculate F with x=470, p=0.52 and n= 1000. The result is $P(X\leq x)$ , but we need $P(X\geq x)$ so we can calculate that probability as

$P(X\geq x)=1-P(X\leq x)$

In order to calculate the cumulative function we can use excel function BINOM.DIST

BINOM.DIST(x,trials,probability,cumulative)

BINOM.DIST(470,1000,0.52,TRUE)

We obtain that $P(X\leq 470)=0.00087$ , so $P(X\geq 470)=1-0.00087=0.9991$

7 0

2 years ago

A gardener brought 5 rabbits, after 2 months rabbits became 10, and after 4 months they became 20. If the growth continues on th

Bogdan [553]

Answer:

60

Showing-MY-Work:

4 months is 1/3 of a year. (12 months = 1 year)

Since know that they became 20, after 4 years, then we just times 20 by 3.

Because 3 times 4 = 12

20 times 3 = answer you're looking for

8 0

3 years ago

Read 2 more answers

Use

Tcecarenko [31]

So this in the exponential form of ab^x, where a is the y intercept, b is the growth factor(base) and x is your domain. From this, we can answer each question. The initial amount is 800, growth rate is 32% and factor is 1.32.

Happy learning!

6 0

2 years ago

What is the quotient of 8,595 ÷ 24?

brilliants [131]

its 3 hope this helpssss

4 0

2 years ago

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Hurry pls Its timed

suter [353]

Answer:

y = 9

Step-by-step explanation:

We notice that both points have a y-coordinate of 9. Since they are the same, the equation must be y = 9 because the function can't "dip" or "rise", otherwise it would be a piecewise function and not a linear function. The equation y = 9 basically means that no matter what x is, y will always be 9.

7 0

2 years ago

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