Answer:
The probability of getting zero heads in six tosses is 0.015625.
The probability of getting exactly two heads in six tosses is 0.234375.
Step-by-step explanation:
Using the Minitab software for computing the desired probabilities.
We take n=6 and p=1/2 because we have six tosses and in binomial distribution the probability of success p remains constant in each trial whereas the probability of success in this case is getting heads.
When a coin is tossed then there are two possible outcomes head or tail.
So,
p= P(heads)=1/2=0.5
The probability of getting zero heads in six tosses is computed by considering the following steps:
In Minitab
Calc >Probability Distributions > Binomial
Select n=6 and p=0.5 and select input constant=0 and bubble the probability and by clicking OK we get the following output:
Probability Density Function
Binomial with n = 6 and p = 0.5
x P( X = x )
0 0.015625
So, the probability of getting zero heads in six tosses is 0.015625.
The probability of getting exactly two heads in six tosses is computed by considering the following steps :
In Minitab
Calc >Probability Distributions > Binomial
Select n=6 and p=0.5 and select input constant=2 and bubble the probability and by clicking OK we get the following output:
Probability Density Function
Binomial with n = 6 and p = 0.5
x P( X = x )
2 0.234375
So, the probability of getting exactly two heads in six tosses is 0.234375.
