Isa Trevino
2021-09-28
Jaylen Fountain
Skilled2021-09-29Added 169 answers
a) Calculation:
The discrete midpoints between the 57 and 83 are 57,58,59,60...81,82,83.
The discrete midpoints at most 54 successes are 0,1,2...53,54.
b) Calculation:
Part (1):
Continuity correction:
The binomial probability is converted to a normal distribution probability by using the continuity correction.
If the binomial probability represents "lies between
Here, the symbol "<" represents "fewer than".
By using continuity correction, the value 0.5 is added to the value of 83 and subtracted from the value of 57.
That is,
Thus, the binomial probability of getting between 57 and 83 successes in a normal distribution probability by using a continuity correction is
Part (2):
Continuity correction:
If the binomial probability represents "at most c", then the normal probability is
Here, the symbol
By using continuity correction, the value 0.5 is added to the value of 54.
That is,
Thus, the binomial probability in a normal distribution probability by using continuity correction is
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