A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseball cost $4 each. The inequality 185
1 answer:
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Answer:
P(Y ≥ 15) = 0.763
Step-by-step explanation:
Given that:
Mean =135
standard deviation = 12
sample size n = 50
sample mean = 140
Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses
Then,
The probability that X is greater than 140 is :
P(X>140) = 1 - P(X ≤ 140)
From z tables,
Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140
Then;
∴
P(Y ≥ 15) = 1- P(Y< 15)
P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )
P(Y ≥ 15) = 0.763
Answer:
The sampling distribution is, p = center = 0.043
The standard deviation of the sample, s = 6.0015×10⁻⁴
The shape is normal
Step-by-step explanation:
Here we have the standard deviation of a sample proportion, given by the following relation;
The center = p = 4.3% or 0.043
The shape is found by the value of n×p hence;
114250 × 0.043 = 4912.75 > 10 and
n(1 - p) = 114250 × (1 - 0.043) = 109337.25 also > 10 hence the shape is normal.