The graph shows a trigonometric function.
2 answers:
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Answer)
The probability is 0.068
Explanation)
We shall use the binomial distribution to evaluate the problem
The probability that an event X occurs exactly 'r' times in 'n' trails is given by
where 'p' is the probability of success of the event E
In the given case
p = 0.52
n = 18
Thus the probability that more than 12 people like the political candidate is
the probability that 13 or 14 or 15 or 16 or 17 or 18 people like the politician thus is given by values of 'r' belonging to the set {13,14,15,16,17,18}
Applying values we get
Thus P(E) = 0.068
Answer:
The number of pennies,nickels and dimes are (p,n,d)=(3,4,6).
Further explanation:
Given:
A box holding pennies, nickels and dimes contains thirteen coins in a box.
Total value is 83 cents.
Calculation:
Consider p,n and d be the number of pennies, nickel and dimes.
Now, total is 13 coins so
As we know that these following are US coin.
Penny=1 cent
Nickel=5 cents
Dime=10 cents
Step 1:
The value is already given as 83 cents that is 80+3 cents.
80 cents can be possible in many combinations as follows:
(N,D)=(0,8),(2,7),(4,6),(6,5),(8,4),(10,3),(12,2),(14,1),(16,0)
It is given that the total number of cents is 13 so we choose (4,6) as (n,d) .
So the value of nickel n=4
Dimes d=6
Step 2:
The value of p is calculated as follows:
Substitute 4 for n, 6 for d in equation as follows:
p=3
Thus, the number of pennies,nickels and dimes are (p,n,d)=(3,4,6).