Answer:
a) 15.866%
b) 0.68268
Step-by-step explanation:
The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.
We solve the above question using z score formula
= z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 76
σ is the population standard deviation = 10
a) What percent of the scores were below 66?
x < 66
Hence,
z = 66 - 76/10
z = -1
Probability value from Z-Table:
P(x<66) = 0.15866
Converting to Percentage =
0.15866 × 100
= 15.866%
b) What is the probability that a student earned a score between 66 and 86?
For x = 66
Hence,
z = 66 - 76/10
z = -1
Probability value from Z-Table:
P(x≤ 66) = 0.15866
x = 66 = 0.15866
For x = 86
Hence,
z = 86 - 76/10
z = 1
Probability value from Z-Table:
P(x≤ 86) = 0.15866
x = 66 = 0.15866
Probability value from Z-Table:
P(x = 86) = 0.84134
The probability that a student earned a score between 66 and 86 is calculated as:
P(x = 86) - P(x = 76)
= 0.84134 - 0.15866
= 0.68268
Answer:
f(x)=x-6
Step-by-step explanation:
x+2-8=x-6 it turns negative.
30 is the correct answer also I’ve downed coffee and monster
Answer:
c
Step-by-step explanation:
Answer:
a) Classical
b) Subjective
c) Empirical
Step-by-step explanation:
a) Classical probability: In classical probability, all the events have the same probability. When flipping a coin, the probability of getting tails is the same as the probability of getting tails, therefore, the probability of both events is 50%.
b) Subjective probability: Subjective probability is derived from a personal judgement based on previous experiences. In this case, John would be calculating his probability of receiving A's based on his previous semesters.
c) Empirical probability: is the ratio between the number of outcomes a scenario happens and the total of trials in an ACTUAL EXPERIMENT. In this case, the reporter would be calculating this probability based on his previous experiences attending actual conferences.