Roushan Ara

Numerade Educator
Teacher

Biography

I have been students physics and mathematics for almost 20 years. As of now I am working with institutions for competitive exams preparation.

Education

Roushan has not yet added their education credentials.

Educator Statistics

Numerade tutor for 4 years
50 Students Helped

Topics Covered

Mastering Motion: Achieving Efficiency Along a Straight Line
Mastering Newton's Laws: Tips for Applying Them Effectively

Roushan's Textbook Answer Videos

1

Roushan's Quick Ask Videos

01:40
Intro Stats / AP Statistics

Consider a card game where aces can be worth one or eleven, face cards are worth 10, and the numbered cards are worth the numbers shown on them, from two to ten. There are 52 cards in a deck: 12 face cards, 4 aces, 4 twos, 4 threes,..., and 4 tens. What is the probability that the first 5 cards drawn from five decks shuffled together are numbered, but not tens? a. 61.5% = (32*5)/(52*5) b. 8.6% c. 7.7% d. 2.5%

Roushan Ara
01:00
Intro Stats / AP Statistics

QwikStore has kept their daily sales records on their 20 oz. "Awesome Drink" across the last 400 days. Assuming that past performance is a good indicator of future sales, what is the probability that 100 "Awesome Drink" sales will be made?

NUMBER SOLD
NUMBER OF DAYS
50
75
75
120
100
125
125
80
TOTAL
400

Roushan Ara
00:36
Intro Stats / AP Statistics

The local sheriff is concerned about speeding at a particular intersection. He selects a random sample of 30 hours over the course of a month and records the average speed of all vehicles that travel through that intersection during each hour. The overall average speed was found to be 36.2 miles per hour. The sheriff would like to conduct a hypothesis test to determine if the overall average speed is significantly higher than 35 miles per hour. Select all of the correct null and alternative hypotheses.
Select one or more:
Ho: μ = 36.2
Ho: μ = 35
Ho: x̄ = 36.2
Ha: μ > 35
Ha: μ < 35
Ha: μ ≠ 35

Roushan Ara
02:15
Intro Stats / AP Statistics

i. A 95% confidence interval for the mean for homework 2 is
constructed and results in and interval of (64.695,
79.865). Interpret the meaning of this interval.
a. There is a 95% chance that the true mean for
homework 2 lies in the
interval (64.695, 79.865).
b. 95 out of 100 times the true mean for
homework 2 will lie in the
interval (64.695, 79.865).
c. 95% of all homework 2 scores will lie in the
interval (64.695, 79.865).
d. We are 95% confident that the true mean for
homework 2 lies in the
interval (64.695, 79.865). The method used to get
the interval from 64.685 to 79.865, when used
on infinitely many random samples of the same size from the same
population, produces intervals which include the population
mean in 95% of the intervals
ii. Construct a 95% confidence interval for the true mean
for homework 2 using = 72.28 and s
= 18.375 and sample size of n = 10.
a. (63.1, 81.4)
b. (26.5, 118.1)
c. (64.7, 79.9)
d. (59.1, 85.9)

Roushan Ara
03:09
Intro Stats / AP Statistics

Apple products have become a household name in America, with the average household owning 2.6 Apple products (CNBC, October 10, 2017). Suppose that in the Midwest, the likelihood of owning an Apple product is 61% for households with kids and 48% for households without kids. Suppose there are 1,200 households in a representative community, of which 820 are with kids and the rest are without kids. Let event A correspond to "Household with kids", and B to "Household owns an Apple product".

a. Are the events "household with kids" and "household without kids" mutually exclusive and exhaustive?
b. What is the probability that a household is without kids? (Round your answer to 4 decimal places.)
c. What is the probability that a household is with kids and owns an Apple product? (Do not round intermediate calculations. Round your answer to 4 decimal places.)
d. What is the probability that a household is without kids and does not own an Apple product? (Do not round intermediate calculations. Round your answer to 4 decimal places.)

Roushan Ara
00:55
Intro Stats / AP Statistics

Data for calories and salt content (milligrams of sodium) in 17 brands of meat hot dogs are shown in the scatter diagram below:

Scatterplot of Calories vs Sodium (mg)
200
180
160
140
120
100
100
200
300
400 Sodium (mg)
500
600

According to this diagram, it appears that:

Roushan Ara
1 2 3 4 5 ... 8