Answer question 2 please Here's a detailed transcription and explanation of the text and the task presented in the image:---**Task: Vehicle Speed Distribution**1. **Assumptions**: - Assume the speed of vehicles along an open stretch of a certain highway in Texas that is not heavily traveled has an approximately Normal distribution with: - Mean (μ) = 71 mph - Standard deviation (σ) = 3.125 mph**Questions**:a) **Calculate the Proportion Above 65 mph**: - What is the proportion of vehicles going above the current posted speed limit of 65 mph?b) **Calculate the Proportion Below 50 mph**: - What proportion of the vehicles would be going less than 50 mph?c) **Calculate the Proportion Between 60 and 75 mph**: - What proportion of the vehicles would be going between 60 and 75 mph?d) **Determine New Speed Limit**: - State authorities recognize the road can handle a higher speed limit. They will implement a high fee for speeding over the new speed limit to ensure overall safety. Speeds will be checked by radar. Assuming the Normal distribution of vehicle speeds continues as before, what should be the new speed limit such that only about 10% of vehicles will be speeding over this limit?**Note**: Make sure to show all your reasoning and calculations in your answers.---**Task: IQ Score Distribution**2. **Assumptions**: - Assume that IQ scores follow a Normal distribution with: - Mean (μ) = 100 - Standard deviation (σ) = 16**Question**:- Using our IQR rule for determining IQ score outliers, calculate the IQ scores that would establish the lower and upper fences for determining outliers.**Note**: Make sure to show all your reasoning and calculations in your answers.--- This task requires understanding and calculating probabilities and percentiles using the Normal distribution and applying the concept of the Interquartile Range (IQR) to identify outliers in IQ scores.

Name: Answer question 2 please Here's a detailed transcription and explanati
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: Answer question 2 please Here's a detailed transcription and explanation of the text and the task presented in the image:---**Task: Vehicle Speed Distribution**1. **Assumptions**: - Assume the speed of vehicles along an open stretch of a certain hi