Suppose that 70% of the orders on a particular website are shipped to the person who is making the order and the remaining 30% a
1 answer:
Answer:
a) P=0.24
b) P=0.31
c) Not independent.
Step-by-step explanation:
The question is incomplete.
a) What’s the probability that a randomly chosen order will be wrapped and sent to a different person?
W: wrapped
SOP: sent to different individuals
b) What’s the probability that a randomly selected order will be gift wrapped?
SR: sent to the correct recipient
c) Is gift wrapping independent of the order’s destination? Please provide a statistical justification.
To establish their independence, both conditions must be satisfied:
- P(x|y) = P(x), for all values of X and Y.
- P(x ∩ y) = P(x) * P(y), for all values of X and Y.
Starting with the second condition.
This condition is unmet, indicating that these variables are not independent.
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Answer:
Sarah purchased 2 drinks and 6 candies.
Step-by-step explanation:
Let
x ----> the quantity of drinks Sarah bought.
y ----> the number of candies acquired by Sarah.
We know that
the total spent on drinks and candies was $35.50
therefore,
-----> equation A
She bought 3 times more candies compared to drinks.
thus,
-----> equation B
To resolve the equations graphically
The solution lies at the intersection of the two graphs
utilizing a graphing tool
The result is the coordinate (2,6)
therefore,
Sarah bought 2 drinks and 6 candies.
We determine that the true average calorie content as estimated in the sampled population surpasses the actual calorie content. Step-by-step explanation: An article discussed a pilot study where each of the 58 participants was asked to estimate the calorie count of a 12 oz beer known to have 153 calories. The observed sample mean of calorie estimation was 193, with a sample standard deviation of 88. Let 
= true average estimated calorie level within the sampled population. Thus, Null Hypothesis, : 153 calories {indicating that the true average estimated calorie content does not exceed the actual amount}. Alternative Hypothesis, 
: > 153 calories {indicating the true average estimation exceeds the actual}. The appropriate test statistic would be a one-sample t-test statistic, as we lack knowledge of the population standard deviation; Test Statistic = ~t = 
where, sample mean estimated calorie level = 193 calories, s = sample standard deviation = 88, and n = sample size = 58. Therefore, the test statistic = ~t = 3.462. The t-table indicates a critical value of 1.6725 for 57 degrees of freedom at a 0.05 significance level. Since our test statistic of 3.462 > 1.6725, we have sufficient evidence to reject the null hypothesis; thus, affirming that the true average estimated calorie content in the sampled population exceeds the real content.