Answer:
0.07776, 0.3456,0.08704
Step-by-step explanation:
Given that a new surgical procedure is said to be successful 60% of the time
Let X be the no of successes
Then X has only two outcomes and each trial is independent of the other
Hence X is binomial with p = prob of success in a single trial = 0.60
n = Number of operations performed = 5
Prob that
a) all five operations are successful =
(b) exactly three are successful
=
(c) less than two are successful
Answer:
Outcomes: S = {1, 2, 3, 4, 5, or 6}
The outcomes of rolling a single die are equally likely.
Step-by-step explanation:
A single fair die has six faces. Each face has dots on it, numbered {1, 2, 3, 4, 5, or 6}.
On rolling the die the possible outcomes are:
S = {1, 2, 3, 4, 5, or 6}
Thus, there are a total of 6 possible outcomes.
Equally likely events are events that has the same probability of happening.
For example, if events <em>A</em> and <em>B</em> are equally likely then <em>P </em>(<em>A</em>) = <em>P </em>(<em>B</em>).
The outcomes of rolling a die are equally likely because the probability of any of the 6 faces showing up are same, i.e.
Thus, the outcomes of rolling a single die are equally likely.
Answer:
Part A)
About $3767.34.
Part B)
About $3692.47.
Step-by-step explanation:
Part A)
Recall that compound interest is given by the formula:
Where <em>A</em> is the final amount, <em>P</em> is the initial amount, <em>r</em> is the interest rate, <em>n</em> is the number of times compounded per year, and <em>t</em> is the number of years.
To obtain $4000 after two years, let <em>A</em> = 4000 and<em> t</em> = 2.
Because the account pays 3% interest compounded monthly, <em>r</em> = 0.03 and <em>n</em> = 12.
Substitute and solve for <em>P: </em>
<em />
In concluion, about $3767.34 should be deposited.
Part B)
Recall the formula for continuous compound:
Where <em>e</em> is Euler's number.
Hence, let <em>A</em> = 4000, <em>r</em> = 0.04 and <em>t</em> = 2. Substitute and solve for <em>P: </em>
<em />
In conclusion, about $3692.47 should be deposited.
