Answer:
Step-by-step explanation:
Definitions and concepts
The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:
And the parameter 
represent the average ocurrence rate per unit of time
For this case we know that 
And we want the probability that during the next five minutes, three cars will arrive, so then our rate becomes:
And we want this probability:
And if we use the pmf we got:
The first one is right and the third one is right, but you need to switch the 15% and the 95%.
In #2, it's asking for the kids that <em>are not</em> Michael, so it'd be 18/19. Which is then rounded to roughly 95%.
#4 asks for 6/40 = 15%
Answer:
More than 50% would germinate
Step-by-step explanation:
Given that in the production of a plant, a treatment is being evaluated to germinate seed. From a total of 60 seed it was observed that 37 of them germinated
Let us check whether more than 50% will germinate using hypothesis test
(right tailed test)
Sample proportion p =
p difference = 0.117
Test statistic Z = p difference/std error = 1.864
p value =0.0312
Since p value <0.05 our significance level of 5% we reject null hypothesis
It is possible to claim that most of the seed will germinate (i.e. more than 50%)
Your original fraction was probably greater than 1/2 because if it was less than you wouldn't be able to divide it.
