Pls help! The price of an item has dropped to
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Answer:
0.173 probability that she gets exactly three questions correct.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Seven questions:
This means that
Each question has four choices.
Abby guesses, which means that
Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.
This is P(X = 3).
Answer: There is a difference of $ 1.0228.
Explanation: Given, initial amount or principal = $ 1000,
Time= 5 years and given compound rate of interest = $3.7%
Now, Since the amount in compound continuously,
, where, r is the rate of compound interest, P is the principal amount and t is the time.
Here, P=$ 1000, t=5 years and r= $3.7%,
Thus, amount in compound continuously ,
⇒
Therefore, interest in this compound continuously rate =1203.21844013-1000=203.21844013
now, Since the amount in compound quarterly,
, where, r is the rate of compound interest, P is the principal amount and t is the time.
Thus, amount in compound quarterly,
⇒
⇒
⇒
Therefore, interest in this compound quarterly rate=1202.19567617-1000=202.19567617
So, the difference in these interests=203.21844013-202.19567617=1.02276396 ≈1.0228