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Zinaida [17]
3 years ago
15

Many people believe that the daily change of price of a company's stock on the stock market is a random variable with mean 0 and

variance 2. That is, if Yn represents the price of the stock on the n-th day, then Yn = Yn-1 + Xn, n > 1 where X1, X2, . . . are independent and identically distributed random variables with mean 0 and variance 2. Suppose that the stock's price today is 100. If 2 = 1, use CLT to approximate the probability that the stock's price will exceed 105 on the 10-th day?
Mathematics
1 answer:
Tomtit [17]3 years ago
8 0

Answer:

Step-by-step explanation:

We can use normal aproximation, assuming that the random variables are a lot of that means the sample size is large.

P(x>105) = P(z>\frac{105-100}{1})=P(z>5)

Using the normal distribution table,

P(z>5) = 0.00005

Hence, we can conclude that the probability that the stock’s price will exceed 105 after 10 days is very small.

Hope this helps!

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The amount of money Chaz earned for walking dogs is given in the table. Can the relationship be described by a constant rate? Ex
mojhsa [17]

Answer:

Yes, the relationship can be described by a constant rate of $18.75 per dog

Step-by-step explanation:

see the attached figure to better understand the problem

Let

x ----> the number of dogs

y ---> the amount of money earned

we have the points

(6,112,50), (8,150), (11,206.25)

step 1

Find the slope with the first and second point

(6,112,50), (8,150)

m=(150-112.50)/(8-6)=18.75

step 2

Find the slope with the first and third point

(6,112,50), (11,206.25)

m=(206.25-112.50)/(11-6)=18.75

Compare the slopes

The slopes are the same

That means, that the three points lies on the same line

therefore

Yes, the relationship can be described by a constant rate of $18.75 per dog

7 0
2 years ago
Convert 2000 Swiss francs to Dutch guilders
Shtirlitz [24]

Answer:

2000 swiss francs equals 3920 Dutch Guilders!

Step-by-step explanation:

One Swiss Franc equals 1.96 Dutch Guilders. Having said this, we can come up with the following equation:

D = 1.96S

Where 'S' represents the swiss francs and 'D' the Dutch Guilders. Now, to convert 2000 Swiss francs, we just need to plug the value into the equation:

D = 1.96(2000) = 3920

So, 2000 swiss francs equals 3920 Dutch Guilders!

4 0
3 years ago
A 9-inch diameter pizza has 30 calories per square inch. About how many calories are in the entire pizza?
Yuliya22 [10]

Answer:

113.04 calories

Step-by-step explanation:

please mark answer as brainlest

8 0
2 years ago
Read 2 more answers
When a group of 40 friends goes to the movies at a multiplex, 1/5 of the group decides to watch a science friction movie.How man
Sladkaya [172]

Answer: 8 members of the science group decided to watch the science fiction movie

Step-by-step explanation:

When a group of 40 friends goes to the movies at a multiplex, 1/5 of the group decides to watch a science friction movie. This means that the total sum of the members of the group that decided to watch the science fiction movie and the members that did not watch the science fiction movie is 40.

If 1/5 of the group decides to watch a science friction movie, that means that 1/5 of 40 watched the science fiction movie. It becomes

1/5 × 40/= 40/5 = 8

8 members of the science group decided to watch the science fiction movie.

7 0
3 years ago
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Karl ate 5/6 of a small bag of popcorn .
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