(Q2) Decide if the function is an exponential function. If it is, state the initial value and the base. y=5^x
1 answer:
Answer:
B
Step-by-step explanation:
We can figure out the initial value and base of an exponential function if the function is written in the form where
a is the initial value, and
b is the base
<u>Note:</u> a ≠ 0 and b ≠ 1
Our equation given can be written in this form by writing it like
Thus, this is an <em>exponential function</em>. The initial value is 1 and the base is 5.
The correct answer is B
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Answer:
The probability that at least two stocks will have a return of more than 12% is 0.1810.
Step-by-step explanation:
Let <em>X</em> = rate of return on stocks.
The random variable <em>X</em> follows a Normal distribution, N (9, 3²).
Compute the probability that a stock has rate of return more than 12% as follows:
**Use the <em>z</em> table for the probability.
The probability of a stock having rate of return more than 12% is 0.1587.
Now define a random variable <em>Y</em> as the number of stocks that has rate of return more than 12%.
The sample size of stocks selected is, <em>n</em> = 5.
The random variable <em>Y </em>follows a Binomial distribution.
The probability of a Binomial distribution is:
Compute the value of P (X ≥ 2) as follows:
P (X ≥ 2) = 1 - P (X < 2)
= 1 - P (X = 0) - P (X = 1)
Thus, the probability that at least two stocks will have a return of more than 12% is 0.1810.