A bag contains tiles with the letters p -r-o-b-a-b-i-l-i-t-y Tyler chooses a tile without looking and doesn't replace it he choo
2 answers:
Answer:
Step-by-step explanation:
Total number of tiles: 11 (obtained from counting the letters in probability)
Probability of picking the letter "i" the first time:
There are 2 letter "i's", and 11 total options, so the probability of picking an "i" is:
Probability of picking the letter "i" the second time:
We now have one less letter in the bag, as the first letter "i" was not replaced.
This means we now only have 1 letter "i", and 10 total options, so the probability of picking the last "i" is:
When you have two probabilities that are dependant on each other, you multiply them to get the probability of one, given that the other has happened.
Total probability:
Simplify by dividing by 2:
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Answer:
a: z = -1.936
b: 0.0265
d: z < -1.645
Reject H0 if z < -1.645
Step-by-step explanation:
We are given:
H0: µ = 20
HA: µ < 20
n = 60, sample mean: 19.6, σ = 1.6
Since the alternate hypothesis has a < sign in it, it is a left tailed test. The < or > sign in the alternate hypothesis points towards the rejection region.
For a: We need to calculate the test statistic for our situation. This is done with a z-score formula for samples.
For b: we need to use the z-score table to look up the p-value for the score we calculate in part a. The p-value is 0.0265. This means that there is only about a 2.65% chance that the sample values were a result of random chance.
For d: Since the significance level is 0.05, and this is a one tailed test, we have a critical value of z < - 1.645. This means that if the z-score we calculate in part a is less than -1.645, we will reject the null hypothesis
See attached photo for all the calculations!
Answer:
Open circle. Points right
Step-by-step explanation:
The reason for it is because this symbol > represents greater than when it comes to inequalities. When it is an open circle that means that you are not including the number. So that also means that the -2.5 is not included to the inequality equation but it can be any other number other than that number.
