<u>Finding the Probability of exactly 2 Jackpots in 5 Trials:
</u>We are given that the probability of winning a jackpot on any individual trial is 1/2000. However, this is just for one trial. To get the probability, we need to transform the question into numbers. We can use this "formula" to do this:
<em>TImes Winning Jackpot/ Number of Trials</em>
<em></em>If we use this formula, we can create a fraction of 2/5. Now, all that is left is to multiply 2/5 by 1/2000 to get 2/10000, which can be simplified to 1/5000. This means that the guest had a 1 in 5000 chance of winning 2 jackpots out of 5 trials.
<u>Finding The Probability of at least 2 jackpots in 5 trials
</u>The answer to this problem is basically the same as before, but the answer should be phrased differently. Your new answer would be that the guest had less than 1 in 5000 chance of winning 2 jackpots in 5 trials.
It’s showing you that’s it’s a squared number
for example, 5^2 = 5 squared = 25
<h2><u>
Answer with explanation</u>
:</h2>
Let 
be the average estimated calorie content in the population.
As per given , we have
, since the alternative hypothesis is right -tailed , so the test is a right tailed test.
Sample size : n= 58
Sample mean : 
sample standard deviation : s= 86
Population standard deviation is unknown , so we use t-test.
Test statistic: 
Critical value at significance level 0.001 and degree of freedom 57 (∵ df=n-1 ) :
Decision : Test statistic value is greater than the critical value at significance level 0.001, so we reject the null hypothesis .
Conclusion : We have sufficient evidence to support the claim that the true average estimated calorie content in the population sampled exceeds the actual content.
