A binomial probability is given. Write the probability in words.

Zoe Oneal

Zoe Oneal

Answered question

2021-09-16

The probability is given as a binomial. Put the likelihood in writing. The binomial probability is then transformed into a probability with a normal distribution using a continuity adjustment.
P(x<124)
Write the probability in words.
The probability of getting ? 124 successes.

Answer & Explanation

likvau

likvau

Skilled2021-09-17Added 75 answers

Step 1
Given Information:
Binomial probability is P(X<124)
By the definition of Binomial distribution, X represents the number of successes among a fixed number of independent trials 'n'.
P(X<124) represents, the probability that there at most (not more than) 124 successes. In other words, probability of getting at most (less than) 124 successes.
Since, the sign in the probability is <, the sign of the normal probability is also <.
Step 2
To apply the continuity correction, we either need to decrease the numeral by 0.5 or we need to increase the numeral by 0.5.
Based on the table given below:
DiscreteContinuousx=65.5<x<6.5x>6x>6.5x6x<6.5x<6x<5.5
Decrease the value by 0.5.
Therefore, P(X<124)=P(X<1240.5)=P(X<123.5)

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