Calculate the probability of landing exactly 3 heads when a fair coin is tossed 5 times.
1 answer:
Answer:
0.3125
Step-by-step explanation:
When a fair coin is tossed we find that
there are only two outcomes
Each toss is independent of the other
Hence if Xis no of heads then X is binomial with n = 5 and p = 0.5
Using binomial formula we can find probability for getting 3 heads exactly.
Required probability
= P(X=3)
=
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Option D: are the ordered pairs represents a function.
Explanation:
Given that the options of the set of ordered pairs.
We need to determine the ordered pairs that represents a function.
Option A:
A relation is said to be a function if each element of x is related to exactly one element in y.
From this set of ordered pairs, it is obvious that the element -12 of x is related to two different element in y.
Thus, the ordered pairs is not a function.
Hence, Option A is not the correct answer.
Option B:
From this set of ordered pairs, it is obvious that the elements -8 and 8 of x are related to two different element in y.
Thus, the ordered pairs is not a function.
Hence, Option B is not the correct answer.
Option C:
From this set of ordered pairs, it is obvious that the element 13 of x is related to three different element in y.
Thus, the ordered pairs is not a function.
Hence, Option C is not the correct answer.
Option D:
A relation is said to be a function if each element of x is related to exactly one element in y.
From this set of ordered pairs, it is obvious that the each element of x is related exactly one element in y.
Thus, the ordered pairs is a function.
Hence, Option D is the correct answer.