Statistics Week 8 Graded Assignments IIT Madras

Statistics week 8 graded assignment Complete Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments

1.Zaheer Khan has taken 4 five-wicket hauls in his last 15 matches. His match records are selected at random, one by one, and analyzed. If none of the match records is analyzed more than once, then what is the probability that the 11th one analyzed is his last five-wicket haul match?

5 1

¹⁵ C ₁₀ ⁴ C ₃ \times ¹¹ C ₇

¹⁵ C ₁₀ ¹¹ C ₇

¹⁵ C ₁₀ ⁴ C ₃ \times ¹¹ C ₇ \times 5 1

No, the answer is incorrect.
Score: 0

Accepted Answers:

¹⁵ C ₁₀ ⁴ C ₃ \times ¹¹ C ₇ \times 5 1

1 point

2. A and B predicts the outcomes of a cricket match and their chances of predicting the runs scored by a specific batsman correctly are

3 2

and

5 2

respectively independent of each other. If the probability of them predicting the same wrong score is

207 6

. Given that they predicted the same score, find the probability that their answer is correct.

Accepted Answers:

846 828

3. An item is produced in three factories $A$ , $B$ and $C$ . Factory $A$ produces 2 times the number of items produced by factory $B$ , and the factories $B$ and $C$ produces the same number of items. It is known that 8%, 7%, 3% of the items produced by factories $A$ , $B$ and $C$ respectively are defective. All items produced in the three factories are stocked, and an item is selected at random. What is the probability that the selected item is defective? (Enter the answer correct to two decimal places)

Accepted Answers:

(Type: Range) 0.04,0.1

1 point

4. An item is produced in three factories $A$ , $B$ and $C$ . Factory $A$ produces 2 times the number of items produced by factory $B$ , and the factories $B$ and $C$ produces the same number of items. It is known that 8%, 7%, 3% of the items produced by factories $A$ , $B$ and $C$ respectively are defective. All items produced in the three factories are stocked, and an item is selected at random. If an item selected at random is found to be defective, what is the probability that it was produced by factory B? (Enter the answer correct to two decimal places)

No, the answer is incorrect.
Score: 0

Accepted Answers:

(Type: Range) 0.24,0.3

1 point

5. A particular task is given to three persons, Manoj, Kalpana and Ananya whose probabilities of completing it are $5 2$ , $5 4$ and $8 2$ respectively, independent of each other. What is the probability that the task will be completed? (Enter the answer correct to two decimal places)

No, the answer is incorrect.
Score: 0

Accepted Answers:

(Type: Range) 0.88,0.94

1 point

6.If A and B are two independent events such that $P (A^{c}) = 0.74$ , $P (B^{c}) = x$ and $P (A \cup B) = 0.85$ , then calculate the value of $x$ . (Enter the answer correct to two decimal places)

No, the answer is incorrect.
Score: 0

Accepted Answers:

(Type: Range) 0.17,0.23

1 point

7th Question is the common data. Use the data in the question 7 to answer from Question number 8 to question number 10.

Two researchers adopted different sampling techniques while investigating the same group of students to find the number of students falling in different intelligence levels. The results are given in Table Q8.1.G:

Table Q8.1.G: Intelligence Level
Researcher	No. of students in each level
	Below Avg.	Avg.	Above Avg.
X	77	67	53
Y	50	19	26

Are you able to see all the six values in a contigency Table Q8.1.G?(Type 0 for No and type 1 for Yes)

Accepted Answers:

(Type: Numeric) 1

0 points

What is the probability that a student falls in below average level? (Enter the answer correct to 2 decimal accuracy)

Accepted Answers:

(Type: Range) 0.4,0.46

1 point

What is the probability that a student is of average level given that the investigation is done by researcher Y? (Enter the answer correct to 2 decimal accuracy)

Accepted Answers:

(Type: Range) 0.17,0.23

1 point

What is the probability that investigation is done by researcher X given that the student is of below average level? (Enter the answer correct to 2 decimal accuracy)

Accepted Answers:

(Type: Range) 0.58,0.64

1 point

During the monsoon, it rains one-third of the days and affects students travel to school. The probability that there will be heavy traffic on a rainy day is

0.5

and on a non-rainy day is

0.25

. If it rains and there is heavy traffic, the probability of a student arriving late to school is 0.5. If it is a clear day and there is no traffic, this probability is reduced by

8 3

. In other possible situations, the probability of a student reaching school late

0.25

. If on a randomly selected day, a student arrives late to school, then what is the probability that it rained that day?

Hint: Consider the event as,

H

= There is heavy traffic

H^{c}

= There is no traffic.

8 1

11 6

48 11

None of the above

Accepted Answers:

11 6

1 point

There are two shops,

A

and

B

, selling t-shirts in the market. Shop

A

has stock of

n

red and

2

black t-shirts and Shop

B

has a stock of

2

red and

n

black t-shirts. One of the shops is selected at random and two t-shirts are purchased from it. If both the t-shirts purchased are red and the probability that it was purchased from a shop

A

7 6

, find the value of

n

3

4

5

6

Statistics Week 8 Graded Assignments IIT Madras

1.Zaheer Khan has taken 4 five-wicket hauls in his last 15 matches. His match records are selected at random, one by one, and analyzed. If none of the match records is analyzed more than once, then what is the probability that the 11th one analyzed is his last five-wicket haul match?

No, the answer is incorrect.Score: 0

Accepted Answers:

Accepted Answers:

Accepted Answers:

No, the answer is incorrect.Score: 0

Accepted Answers:

5. A particular task is given to three persons, Manoj, Kalpana and Ananya whose probabilities of completing it are 2552, 4554 and 2882 respectively, independent of each other. What is the probability that the task will be completed? (Enter the answer correct to two decimal places)

No, the answer is incorrect.Score: 0

Accepted Answers:

6.If A and B are two independent events such that�(��)=0.74P(Ac)=0.74, �(��)=�P(Bc)=x and �(�∪�)=0.85P(A∪B)=0.85, then calculate the value of �x. (Enter the answer correct to two decimal places)

No, the answer is incorrect.Score: 0

Accepted Answers:

Accepted Answers:

Accepted Answers:

Accepted Answers:

Accepted Answers:

Accepted Answers:

Accepted Answers:

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No, the answer is incorrect.
Score: 0

No, the answer is incorrect.
Score: 0

5. A particular task is given to three persons, Manoj, Kalpana and Ananya whose probabilities of completing it are $5 2$ , $5 4$ and $8 2$ respectively, independent of each other. What is the probability that the task will be completed? (Enter the answer correct to two decimal places)

No, the answer is incorrect.
Score: 0

6.If A and B are two independent events such that $P (A^{c}) = 0.74$ , $P (B^{c}) = x$ and $P (A \cup B) = 0.85$ , then calculate the value of $x$ . (Enter the answer correct to two decimal places)

No, the answer is incorrect.
Score: 0