[This problem is based on real data from a quarterly report by Backblaze, a data storage company.] Computer Hard Disk Drives (HDDs) are a common type of data storage device. Unlike some othe data storage devices like flash drives and Solid State Drives (SSDs) which have no moving parts, HDDs use a platter of rapidly spinning discs along with a mechanical arm that moves across the surface to read data. Because of these moving parts, HDDs are more prone to failure than SSDs (but they are still very reliable!). Large data centres use thousands of HDDs to store vast amounts of data, and so even a very small failure rate can be very important. A company is creating a small datacenter and plans to purchase 1433 HDDs. After reviewing reliability information, they decide to purchase an HDD with a failure rate of 4.3%. What is the probability that more than 5.1% of the HDDs they purchase will fail? [You will answer this question in parts.] 1. What is the mean of the sampling distribution of p, the sample proportion of HDDs that will fail? (Do not round.) 2. What is the standard deviation of the sampling distribution of p, the sample proportion of HDDs that will fail? (Round your answer to 3 decimal places.) 3. What is the z-score for determining if more than 5.1% of the HDDs will fail? (Use your values from parts 1 and 2. Round your answer to 2 decimal places.) 4. What is the probability that more than 5.1% of the HDDs will fail? O A. 0.9452 O B. 0.1096 O C. 1.8904 O D. 0.0548 K