Answer:
a) The probability that at least 5 ties are too tight is P=0.0432.
b) The probability that at most 12 ties are too tight is P=1.
Step-by-step explanation:
In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.
a) We can express the probability that at least 5 ties are too tight as:

The probability that at least 5 ties are too tight is P=0.0432.
a) We can express the probability that at most 12 ties are too tight as:

The probability that at most 12 ties are too tight is P=1.
Answer:
the winner was 1.4m/s quicker
Step-by-step explanation:
i think it is:
average speed= m:s
fay= 300: 50= 6m/s
tia= 300: 65= 4.6m/s
6-4.6= 1.4
The y-intercept is at the point (0, -3)
x - 4y = 4
-3x - 4y = 12
Subtract the first equation from the second
x - 4y = 4
-4x = 12
Divide the second equation by (-4)
x - 4y = 4
x = -3
Subtract the second equation from the first
- 4y = 7
x = -3
Divide the first equation by (-4)
y = -7/4
x = -3
<h3>
So, the solution is x = -3 and y = - 7/4</h3>
Answer: The null and the alternative hypotheses are given below:


Under null hypothesis, the test statistic is:




Now we have to find the left tailed critical value at 0.01 significance level using the standard normal table.
The critical value is:

Since the test statistic is -0.26 lies in acceptance region because the critical region is beyond -2.33, therefore, we fail to reject the null hypothesis.